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152530430125120 = 2651072944427029
BaseRepresentation
bin100010101011100111000010…
…000110101110010001000000
3202000001202200221011212202021
4202223213002012232101000
5124443024310103000440
61300223302351331224
744061650152011055
oct4253470206562100
9660052627155667
10152530430125120
1144667879388983
1215135504520b14
136715733771638
14299472570102c
1512979ee7cd84a
hex8ab9c21ae440

152530430125120 has 56 divisors (see below), whose sum is σ = 363246948307800. Its totient is φ = 61006484017152.

The previous prime is 152530430125061. The next prime is 152530430125123. The reversal of 152530430125120 is 21521034035251.

It can be written as a sum of positive squares in 4 ways, for example, as 21508892021824 + 131021538103296 = 4637768^2 + 11446464^2 .

It is a super-2 number, since 2×1525304301251202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152530430125123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18780235 + ... + 25646794.

Almost surely, 2152530430125120 is an apocalyptic number.

152530430125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152530430125120 is an abundant number, since it is smaller than the sum of its proper divisors (210716518182680).

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

152530430125120 is a wasteful number, since it uses less digits than its factorization.

152530430125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44437775 (or 44437765 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 152530430125120 in words is "one hundred fifty-two trillion, five hundred thirty billion, four hundred thirty million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 10729 21458 42916 53645 85832 107290 171664 214580 343328 429160 686656 858320 1716640 3433280 44427029 88854058 177708116 222135145 355416232 444270290 710832464 888540580 1421664928 1777081160 2843329856 3554162320 7108324640 14216649280 476657594141 953315188282 1906630376564 2383287970705 3813260753128 4766575941410 7626521506256 9533151882820 15253043012512 19066303765640 30506086025024 38132607531280 76265215062560 152530430125120