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10481413392 = 2433293732243
BaseRepresentation
bin10011100001011110…
…11010110100010000
31000001110121222011000
421300233122310100
5132431220212032
64452021022000
7520511354352
oct116057326420
930043558130
1010481413392
11449953701a
122046254900
13cb0665578
1471607b0d2
154152a3e7c
hex270bdad10

10481413392 has 160 divisors (see below), whose sum is σ = 31220323200. Its totient is φ = 3362784768.

The previous prime is 10481413367. The next prime is 10481413417. The reversal of 10481413392 is 29331418401.

It is an interprime number because it is at equal distance from previous prime (10481413367) and next prime (10481413417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4671823 + ... + 4674065.

It is an arithmetic number, because the mean of its divisors is an integer number (195127020).

Almost surely, 210481413392 is an apocalyptic number.

10481413392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481413392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610161600).

10481413392 is an abundant number, since it is smaller than the sum of its proper divisors (20738909808).

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

10481413392 is a wasteful number, since it uses less digits than its factorization.

10481413392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10481413392 in words is "ten billion, four hundred eighty-one million, four hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 373 432 464 522 696 746 783 1044 1119 1392 1492 1566 2088 2238 2243 2984 3132 3357 4176 4476 4486 5968 6264 6714 6729 8952 8972 10071 10817 12528 13428 13458 17904 17944 20142 20187 21634 26856 26916 32451 35888 40284 40374 43268 53712 53832 60561 64902 65047 80568 80748 86536 97353 107664 121122 129804 130094 161136 161496 173072 194706 195141 242244 259608 260188 292059 322992 389412 390282 484488 519216 520376 584118 585423 778824 780564 836639 968976 1040752 1168236 1170846 1557648 1561128 1673278 1756269 2336472 2341692 2509917 3122256 3346556 3512538 4672944 4683384 5019834 6693112 7025076 7529751 9366768 10039668 13386224 14050152 15059502 20079336 22589253 24262531 28100304 30119004 40158672 45178506 48525062 60238008 72787593 90357012 97050124 120476016 145575186 180714024 194100248 218362779 291150372 361428048 388200496 436725558 582300744 655088337 873451116 1164601488 1310176674 1746902232 2620353348 3493804464 5240706696 10481413392