Search a number
-
+
1051712121504 = 253111758584677
BaseRepresentation
bin11110100110111101110…
…11010110101010100000
310201112122121220101021110
433103132323112222200
5114212401300342004
62123052212423320
7135661256350452
oct17233673265240
93645577811243
101051712121504
113760350901a0
1214b9b4317b40
137823996a1c5
1438c902d62d2
151c5565a6589
hexf4deed6aa0

1051712121504 has 96 divisors (see below), whose sum is σ = 3188881192896. Its totient is φ = 299953541120.

The previous prime is 1051712121479. The next prime is 1051712121529. The reversal of 1051712121504 is 4051212171501.

It is an interprime number because it is at equal distance from previous prime (1051712121479) and next prime (1051712121529).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10517121215042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29274387 + ... + 29310290.

It is an arithmetic number, because the mean of its divisors is an integer number (33217512426).

Almost surely, 21051712121504 is an apocalyptic number.

It is an amenable number.

1051712121504 is an abundant number, since it is smaller than the sum of its proper divisors (2137169071392).

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

1051712121504 is a wasteful number, since it uses less digits than its factorization.

1051712121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58584718 (or 58584710 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The spelling of 1051712121504 in words is "one trillion, fifty-one billion, seven hundred twelve million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 58584677 117169354 175754031 234338708 351508062 468677416 644431447 703016124 937354832 995939509 1288862894 1406032248 1874709664 1933294341 1991879018 2577725788 2812064496 2987818527 3866588682 3983758036 5155451576 5624128992 5975637054 7733177364 7967516072 10310903152 10955334599 11951274108 15466354728 15935032144 20621806304 21910669198 23902548216 30932709456 31870064288 32866003797 43821338396 47805096432 61865418912 65732007594 87642676792 95610192864 131464015188 175285353584 262928030376 350570707168 525856060752 1051712121504