Search a number
-
+
38031559956 = 223213615212557
BaseRepresentation
bin100011011010110110…
…111000110100010100
310122011111002102101200
4203122312320310110
51110342034404311
625245500152500
72514312632355
oct433266706424
9118144072350
1038031559956
1115146907995
127454838730
133781308240
141baada9d2c
15ec8caa556
hex8dadb8d14

38031559956 has 144 divisors (see below), whose sum is σ = 105470780688. Its totient is φ = 11483596800.

The previous prime is 38031559939. The next prime is 38031559991. The reversal of 38031559956 is 65995513083.

It is a happy number.

38031559956 is a `hidden beast` number, since 3 + 8 + 0 + 31 + 559 + 9 + 56 = 666.

38031559956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13674963600 + 24356596356 = 116940^2 + 156066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14872230 + ... + 14874786.

It is an arithmetic number, because the mean of its divisors is an integer number (732435977).

Almost surely, 238031559956 is an apocalyptic number.

38031559956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38031559956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52735390344).

38031559956 is an abundant number, since it is smaller than the sum of its proper divisors (67439220732).

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

38031559956 is a wasteful number, since it uses less digits than its factorization.

38031559956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 38031559956 in words is "thirty-eight billion, thirty-one million, five hundred fifty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 521 549 732 793 1042 1098 1563 1586 2084 2196 2379 2557 3126 3172 4689 4758 5114 6252 6773 7137 7671 9378 9516 10228 13546 14274 15342 18756 20319 23013 27092 28548 30684 31781 33241 40638 46026 60957 63562 66482 81276 92052 95343 99723 121914 127124 132964 155977 190686 199446 243828 286029 299169 311954 381372 398892 413153 467931 572058 598338 623908 826306 935862 1144116 1196676 1239459 1332197 1403793 1652612 1871724 2027701 2478918 2664394 2807586 3718377 3996591 4055402 4957836 5328788 5615172 6083103 7436754 7993182 8110804 11989773 12166206 14873508 15986364 17318561 18249309 23979546 24332412 34637122 36498618 47959092 51955683 69274244 72997236 81264017 103911366 155867049 162528034 207822732 243792051 311734098 325056068 487584102 623468196 731376153 975168204 1056432221 1462752306 2112864442 2925504612 3169296663 4225728884 6338593326 9507889989 12677186652 19015779978 38031559956