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3987238277268 = 22321913014480627
BaseRepresentation
bin111010000001011001111…
…010111101000010010100
3112010011202111021000102200
4322001121322331002110
51010311330444333033
612251413442004500
7561032324104311
oct72013172750224
915104674230380
103987238277268
1112a7a84073484
12544906046730
1322bcc1bc36cc
14dadaa4bbd08
156dab5924013
hex3a059ebd094

3987238277268 has 72 divisors (see below), whose sum is σ = 10617475333920. Its totient is φ = 1258159780800.

The previous prime is 3987238277263. The next prime is 3987238277273. The reversal of 3987238277268 is 8627728327893.

3987238277268 is a `hidden beast` number, since 3 + 98 + 7 + 2 + 3 + 8 + 277 + 268 = 666.

It is an interprime number because it is at equal distance from previous prime (3987238277263) and next prime (3987238277273).

It is a super-2 number, since 2×39872382772682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3987238277196 and 3987238277205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987238277263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350430 + ... + 3130197.

Almost surely, 23987238277268 is an apocalyptic number.

3987238277268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3987238277268 is an abundant number, since it is smaller than the sum of its proper divisors (6630237056652).

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

3987238277268 is a wasteful number, since it uses less digits than its factorization.

3987238277268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481957 (or 4481952 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 3987238277268 in words is "three trillion, nine hundred eighty-seven billion, two hundred thirty-eight million, two hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1301 2602 3903 5204 7806 11709 15612 23418 24719 46836 49438 74157 98876 148314 222471 296628 444942 889884 4480627 8961254 13441881 17922508 26883762 40325643 53767524 80651286 85131913 161302572 170263826 255395739 340527652 510791478 766187217 1021582956 1532374434 3064748868 5829295727 11658591454 17487887181 23317182908 34975774362 52463661543 69951548724 104927323086 110756618813 209854646172 221513237626 332269856439 443026475252 664539712878 996809569317 1329079425756 1993619138634 3987238277268