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38695391332956 = 22327983163927403
BaseRepresentation
bin10001100110001011110010…
…00011100000101001011100
312002000020120100120000102100
420303011321003200221130
520032441130140123311
6214144230052525100
711102435604251061
oct1063057103405134
9162006510500370
1038695391332956
1111369694691146
12440b514320790
131878c6273a107
1497ac1cc18c68
154718513e0a56
hex2331790e0a5c

38695391332956 has 72 divisors (see below), whose sum is σ = 100244886094080. Its totient is φ = 12581755958304.

The previous prime is 38695391332933. The next prime is 38695391332957. The reversal of 38695391332956 is 65923319359683.

38695391332956 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 539 + 1 + 3 + 32 + 9 + 56 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38695391332957) 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, 81727650 + ... + 82199753.

It is an arithmetic number, because the mean of its divisors is an integer number (1392290084640).

Almost surely, 238695391332956 is an apocalyptic number.

38695391332956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38695391332956 is an abundant number, since it is smaller than the sum of its proper divisors (61549494761124).

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

38695391332956 is a wasteful number, since it uses less digits than its factorization.

38695391332956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163927575 (or 163927570 counting only the distinct ones).

The product of its digits is 850305600, while the sum is 72.

The spelling of 38695391332956 in words is "thirty-eight trillion, six hundred ninety-five billion, three hundred ninety-one million, three hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 83 158 166 237 249 316 332 474 498 711 747 948 996 1422 1494 2844 2988 6557 13114 19671 26228 39342 59013 78684 118026 236052 163927403 327854806 491782209 655709612 983564418 1475346627 1967128836 2950693254 5901386508 12950264837 13605974449 25900529674 27211948898 38850794511 40817923347 51801059348 54423897796 77701589022 81635846694 116552383533 122453770041 155403178044 163271693388 233104767066 244907540082 466209534132 489815080164 1074871981471 2149743962942 3224615944413 4299487925884 6449231888826 9673847833239 12898463777652 19347695666478 38695391332956