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2151014550516 = 223213211156713901
BaseRepresentation
bin11111010011010010011…
…101010100101111110100
321121122010220100212111200
4133103102131110233310
5240220234211104031
64324055030532500
7311256101001366
oct37232235245764
97548126325450
102151014550516
1175a270700837
122a8a6a507130
13127abc076880
1476176c98d36
153ae45bb48e6
hex1f4d2754bf4

2151014550516 has 144 divisors (see below), whose sum is σ = 5887468973568. Its totient is φ = 658246176000.

The previous prime is 2151014550463. The next prime is 2151014550523. The reversal of 2151014550516 is 6150554101512.

2151014550516 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 0 + 145 + 505 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154731166 + ... + 154745066.

Almost surely, 22151014550516 is an apocalyptic number.

2151014550516 is a gapful number since it is divisible by the number (26) 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 2151014550516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943734486784).

2151014550516 is an abundant number, since it is smaller than the sum of its proper divisors (3736454423052).

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

2151014550516 is a wasteful number, since it uses less digits than its factorization.

2151014550516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 2151014550516 in words is "two trillion, one hundred fifty-one billion, fourteen million, five hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 211 234 422 468 633 844 1266 1567 1899 2532 2743 3134 3798 4701 5486 6268 7596 8229 9402 10972 13901 14103 16458 18804 20371 24687 27802 28206 32916 40742 41703 49374 55604 56412 61113 81484 83406 98748 122226 125109 166812 180713 183339 244452 250218 330637 361426 366678 500436 542139 661274 722852 733356 991911 1084278 1322548 1626417 1983822 2168556 2933111 2975733 3252834 3967644 4298281 5866222 5951466 6505668 8596562 8799333 11732444 11902932 12894843 17193124 17598666 21782867 25789686 26397999 35197332 38130443 38684529 43565734 51579372 52795998 65348601 76260886 77369058 87131468 105591996 114391329 130697202 152521772 154738116 196045803 228782658 261394404 283177271 343173987 392091606 457565316 566354542 686347974 784183212 849531813 1132709084 1372695948 1699063626 2548595439 3398127252 4596184937 5097190878 9192369874 10194381756 13788554811 18384739748 27577109622 41365664433 55154219244 59750404181 82731328866 119500808362 165462657732 179251212543 239001616724 358502425086 537753637629 717004850172 1075507275258 2151014550516