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51740700102 = 23371331339653
BaseRepresentation
bin110000001011111111…
…000110110111000110
311221112220020220021000
4300023333012313012
51321431104400402
635434102434130
73511116460110
oct601377066706
9157486226230
1051740700102
111aa41304883
12a03ba32946
134b575996a0
14270b9ac3b0
15152c5d7c1c
hexc0bfc6dc6

51740700102 has 128 divisors (see below), whose sum is σ = 146078392320. Its totient is φ = 13205669760.

The previous prime is 51740700101. The next prime is 51740700113. The reversal of 51740700102 is 20100704715.

51740700102 is a `hidden beast` number, since 517 + 40 + 7 + 0 + 0 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51740700101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17493 + ... + 322160.

It is an arithmetic number, because the mean of its divisors is an integer number (1141237440).

Almost surely, 251740700102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51740700102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73039196160).

51740700102 is an abundant number, since it is smaller than the sum of its proper divisors (94337692218).

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

51740700102 is a wasteful number, since it uses less digits than its factorization.

51740700102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339715 (or 339709 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 51740700102 in words is "fifty-one billion, seven hundred forty million, seven hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 378 403 434 546 558 651 702 806 819 837 1209 1302 1638 1674 1953 2418 2457 2821 3627 3906 4914 5642 5859 7254 8463 10881 11718 16926 21762 25389 50778 76167 152334 339653 679306 1018959 2037918 2377571 3056877 4415489 4755142 6113754 7132713 8830978 9170631 10529243 13246467 14265426 18341262 21058486 21398139 26492934 30908423 31587729 39739401 42796278 61816846 63175458 64194417 73704701 79478802 92725269 94763187 119218203 128388834 136880159 147409402 185450538 189526374 221114103 238436406 273760318 278175807 284289561 410640477 442228206 556351614 568579122 663342309 821280954 834527421 958161113 1231921431 1326684618 1669054842 1916322226 1990026927 2463842862 2874483339 3695764293 3980053854 5748966678 7391528586 8623450017 17246900034 25870350051 51740700102