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152902288008 = 2334153612
BaseRepresentation
bin1000111001100110101…
…1111100001010001000
3112121200000122000120000
42032121223330022020
510001120441204013
6154124202403000
714022030001221
oct2163153741210
9477600560500
10152902288008
11599333a0088
1225772800460
1311559941742
147587000248
153e9d7c1973
hex2399afc288

152902288008 has 60 divisors (see below), whose sum is σ = 428295864645. Its totient is φ = 50964111360.

The previous prime is 152902287997. The next prime is 152902288051. The reversal of 152902288008 is 800882209251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 141242175684 + 11660112324 = 375822^2 + 107982^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=276498.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9946248 + ... + 9961608.

Almost surely, 2152902288008 is an apocalyptic number.

152902288008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152902288008 is an abundant number, since it is smaller than the sum of its proper divisors (275393576637).

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

152902288008 is an frugal number, since it uses more digits than its factorization.

152902288008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30740 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 152902288008 in words is "one hundred fifty-two billion, nine hundred two million, two hundred eighty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15361 30722 46083 61444 92166 122888 138249 184332 276498 368664 414747 552996 829494 1105992 1244241 1658988 2488482 3317976 4976964 9953928 235960321 471920642 707880963 943841284 1415761926 1887682568 2123642889 2831523852 4247285778 5663047704 6370928667 8494571556 12741857334 16989143112 19112786001 25483714668 38225572002 50967429336 76451144004 152902288008