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38712480100 = 2252795358031
BaseRepresentation
bin100100000011011100…
…011001000101100100
310200220221100202020021
4210003130121011210
51113240343330400
625441222444524
72540221436320
oct440334310544
9120827322207
1038712480100
1115466205308
127604893744
13385c3c6c78
141c335b8980
15101895e71a
hex903719164

38712480100 has 72 divisors (see below), whose sum is σ = 96109348608. Its totient is φ = 13258694400.

The previous prime is 38712480097. The next prime is 38712480119. The reversal of 38712480100 is 108421783.

It is a happy number.

It is a super-2 number, since 2×387124801002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638085 + ... + 696115.

It is an arithmetic number, because the mean of its divisors is an integer number (1334852064).

Almost surely, 238712480100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38712480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054674304).

38712480100 is an abundant number, since it is smaller than the sum of its proper divisors (57396868508).

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

38712480100 is a wasteful number, since it uses less digits than its factorization.

38712480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59005 (or 58998 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 38712480100 in words is "thirty-eight billion, seven hundred twelve million, four hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 953 1906 3812 4765 6671 9530 13342 19060 23825 26684 33355 47650 58031 66710 95300 116062 133420 166775 232124 290155 333550 406217 580310 667100 812434 1160620 1450775 1624868 2031085 2901550 4062170 5803100 8124340 10155425 20310850 40621700 55303543 110607086 221214172 276517715 387124801 553035430 774249602 1106070860 1382588575 1548499204 1935624005 2765177150 3871248010 5530354300 7742496020 9678120025 19356240050 38712480100