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151002248904 = 2332131021158009
BaseRepresentation
bin1000110010100001101…
…1110111011011001000
3112102202121101000220100
42030220123313123020
54433223033431104
6153211450125400
713623655636503
oct2145033673310
9472677330810
10151002248904
1159048918631
1225322420860
13113160c6150
14744692613a
153ddbaa7139
hex23286f76c8

151002248904 has 96 divisors (see below), whose sum is σ = 440857380600. Its totient is φ = 46416430080.

The previous prime is 151002248899. The next prime is 151002248911. The reversal of 151002248904 is 409842200151.

151002248904 is a `hidden beast` number, since 151 + 0 + 0 + 22 + 489 + 0 + 4 = 666.

151002248904 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 4 ways, for example, as 144781772004 + 6220476900 = 380502^2 + 78870^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876652 + ... + 1034660.

Almost surely, 2151002248904 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 151002248904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220428690300).

151002248904 is an abundant number, since it is smaller than the sum of its proper divisors (289855131696).

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

151002248904 is a wasteful number, since it uses less digits than its factorization.

151002248904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159055 (or 159048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 151002248904 in words is "one hundred fifty-one billion, two million, two hundred forty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1021 2042 3063 4084 6126 8168 9189 12252 13273 18378 24504 26546 36756 39819 53092 73512 79638 106184 119457 158009 159276 238914 316018 318552 474027 477828 632036 948054 955656 1264072 1422081 1896108 2054117 2844162 3792216 4108234 5688324 6162351 8216468 11376648 12324702 16432936 18487053 24649404 36974106 49298808 73948212 147896424 161327189 322654378 483981567 645308756 967963134 1290617512 1451944701 1935926268 2097253457 2903889402 3871852536 4194506914 5807778804 6291760371 8389013828 11615557608 12583520742 16778027656 18875281113 25167041484 37750562226 50334082968 75501124452 151002248904