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214756125108 = 223711032317879
BaseRepresentation
bin1100100000000001110…
…1100110100110110100
3202112022201112111201120
43020000131212212310
512004310032000413
6242354013023540
721341566641630
oct3100035464664
9675281474646
10214756125108
1183094263418
1235755484bb0
131733648b755
14a573b81dc0
1558bdb64723
hex32007669b4

214756125108 has 48 divisors (see below), whose sum is σ = 573202452480. Its totient is φ = 61303237344.

The previous prime is 214756125061. The next prime is 214756125121. The reversal of 214756125108 is 801521657412.

It is a happy number.

It is a super-2 number, since 2×2147561251082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 214756125108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066288 + ... + 1251591.

It is an arithmetic number, because the mean of its divisors is an integer number (11941717760).

Almost surely, 2214756125108 is an apocalyptic number.

214756125108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214756125108 is an abundant number, since it is smaller than the sum of its proper divisors (358446327372).

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

214756125108 is a wasteful number, since it uses less digits than its factorization.

214756125108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318996 (or 2318994 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 214756125108 in words is "two hundred fourteen billion, seven hundred fifty-six million, one hundred twenty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1103 2206 3309 4412 6618 7721 13236 15442 23163 30884 46326 92652 2317879 4635758 6953637 9271516 13907274 16225153 27814548 32450306 48675459 64900612 97350918 194701836 2556620537 5113241074 7669861611 10226482148 15339723222 17896343759 30679446444 35792687518 53689031277 71585375036 107378062554 214756125108