Search a number
-
+
51668500002 = 23737179185747
BaseRepresentation
bin110000000111101011…
…101011111000100010
311221100212101202100020
4300013223223320202
51321304114000002
635423003134310
73506252001150
oct600753537042
9157325352306
1051668500002
111aa04580879
12a01b814396
134b4563a632
1427021763d0
1515260c52bc
hexc07aebe22

51668500002 has 64 divisors (see below), whose sum is σ = 121969566720. Its totient is φ = 14283124416.

The previous prime is 51668500001. The next prime is 51668500033. The reversal of 51668500002 is 20000586615.

51668500002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×516685000023 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51668500001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185293 + ... + 371039.

It is an arithmetic number, because the mean of its divisors is an integer number (1905774480).

Almost surely, 251668500002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51668500002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984783360).

51668500002 is an abundant number, since it is smaller than the sum of its proper divisors (70301066718).

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

51668500002 is a wasteful number, since it uses less digits than its factorization.

51668500002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185975.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 51668500002 in words is "fifty-one billion, six hundred sixty-eight million, five hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 179 222 259 358 518 537 777 1074 1253 1554 2506 3759 6623 7518 13246 19869 39738 46361 92722 139083 185747 278166 371494 557241 1114482 1300229 2600458 3900687 6872639 7801374 13745278 20617917 33248713 41235834 48108473 66497426 96216946 99746139 144325419 199492278 232740991 288650838 465481982 698222973 1230202381 1396445946 2460404762 3690607143 7381214286 8611416667 17222833334 25834250001 51668500002