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1395219265636 = 22741727092
BaseRepresentation
bin10100010011011001100…
…011000111100001100100
311221101022020012022211011
4110103121203013201210
5140324402113000021
62544542130552004
7202541556040000
oct24233143074144
94841266168734
101395219265636
114987889a1859
121a64a0138604
13a1751319681
144b759703700
152645d5bade1
hex144d98c7864

1395219265636 has 135 divisors (see below), whose sum is σ = 3030086112459. Its totient is φ = 561983756544.

The previous prime is 1395219265631. The next prime is 1395219265663. The reversal of 1395219265636 is 6365629125931.

The square root of 1395219265636 is 1181194.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18689624100 + 1376529641536 = 136710^2 + 1173256^2 .

It is not an unprimeable number, because it can be changed into a prime (1395219265631) 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, 1967868850 + ... + 1967869558.

Almost surely, 21395219265636 is an apocalyptic number.

1395219265636 is the 1181194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395219265636

1395219265636 is an abundant number, since it is smaller than the sum of its proper divisors (1634866846823).

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

1395219265636 is an frugal number, since it uses more digits than its factorization.

1395219265636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 735 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 58.

The spelling of 1395219265636 in words is "one trillion, three hundred ninety-five billion, two hundred nineteen million, two hundred sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 343 476 578 686 709 833 1156 1372 1418 1666 2023 2401 2836 3332 4046 4802 4963 5831 8092 9604 9926 11662 12053 14161 19852 23324 24106 28322 34741 40817 48212 56644 69482 81634 84371 99127 138964 163268 168742 198254 204901 243187 337484 396508 409802 486374 502681 590597 693889 819604 972748 1005362 1181194 1387778 1434307 1702309 2010724 2362388 2775556 2868614 3404618 3518767 4134179 5737228 6809236 7037534 8268358 8545577 10040149 14075068 16536716 17091154 20080298 24631369 28939253 34182308 40160596 49262738 57878506 59819039 70281043 98525476 115757012 119638078 140562086 145274809 172419583 239276156 281124172 290549618 344839166 418733273 491967301 581099236 689678332 837466546 983934602 1016923663 1206937081 1674933092 1967869204 2033847326 2413874162 2931132911 4067694652 4827748324 5862265822 7118465641 11724531644 14236931282 20517930377 28473862564 41035860754 49829259487 82071721508 99658518974 199317037948 348804816409 697609632818 1395219265636