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11698438408804 = 227417220532
BaseRepresentation
bin1010101000111100000101…
…0001000000101001100100
31112102100201021202000122101
42222033001101000221210
53013131400213040204
640514104410341444
72315120131540000
oct252170121005144
945370637660571
1011698438408804
11380030955aa74
12138b29b42a884
1366b2091b5724
142c62c9303700
151544835ecea4
hexaa3c1440a64

11698438408804 has 135 divisors (see below), whose sum is σ = 25382770082187. Its totient is φ = 4716399405312.

The previous prime is 11698438408801. The next prime is 11698438408807. The reversal of 11698438408804 is 40880483489611.

The square root of 11698438408804 is 3420298.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11698438408801) and next prime (11698438408807).

It can be written as a sum of positive squares in 4 ways, for example, as 1099767495204 + 10598670913600 = 1048698^2 + 3255560^2 .

It is a super-2 number, since 2×116984384088042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11698438408801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5698215442 + ... + 5698217494.

Almost surely, 211698438408804 is an apocalyptic number.

11698438408804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11698438408804 is the 3420298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11698438408804

11698438408804 is an abundant number, since it is smaller than the sum of its proper divisors (13684331673383).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11698438408804 is an frugal number, since it uses more digits than its factorization.

11698438408804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

Multiplying 11698438408804 by its sum of digits (64), we get a square (748700058163456 = 273623842).

The spelling of 11698438408804 in words is "eleven trillion, six hundred ninety-eight billion, four hundred thirty-eight million, four hundred eight thousand, eight hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 343 476 578 686 833 1156 1372 1666 2023 2053 2401 3332 4046 4106 4802 5831 8092 8212 9604 11662 14161 14371 23324 28322 28742 34901 40817 56644 57484 69802 81634 99127 100597 139604 163268 198254 201194 244307 396508 402388 488614 593317 693889 704179 977228 1186634 1387778 1408358 1710149 2373268 2775556 2816716 3420298 4153219 4214809 4929253 6840596 8306438 8429618 9858506 11971043 16612876 16859236 19717012 23942086 29072533 29503663 47884172 58145066 59007326 71651753 83797301 116290132 118014652 143303506 167594602 203507731 206525641 286607012 335189204 407015462 413051282 501562271 814030924 826102564 1003124542 1218079801 1424554117 1445679487 2006249084 2436159602 2849108234 2891358974 3510935897 4872319204 5698216468 5782717948 7021871794 8526558607 10119756409 14043743588 17053117214 20239512818 24576551279 34106234428 40479025636 49153102558 59685910249 98306205116 119371820498 172035858953 238743640996 344071717906 417801371743 688143435812 835602743486 1671205486972 2924609602201 5849219204402 11698438408804