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152929482451488 = 25327287012
BaseRepresentation
bin100010110001011010101011…
…011110100010101000100000
3202001110220201120112102220200
4202301122223132202220200
5130021044040001421423
61301130500115505200
744132535065555151
oct4261325336425040
9661426646472820
10152929482451488
1144801035a87026
121519a9122b8200
13674425a963a42
1429a9b7da97928
1512a30a7dced43
hex8b16ab7a2a20

152929482451488 has 54 divisors (see below), whose sum is σ = 434893812528357. Its totient is φ = 50976424195200.

The previous prime is 152929482451483. The next prime is 152929482451489. The reversal of 152929482451488 is 884154284929251.

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.

152929482451488 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 2 + 9 + 4 + 8 + 24 + 514 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125490449871504 + 27439032579984 = 11202252^2 + 5238228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8744412.

It is a super-2 number, since 2×1529294824514882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (152929482451481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 209501538 + ... + 210230238.

Almost surely, 2152929482451488 is an apocalyptic number.

152929482451488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152929482451488 is an abundant number, since it is smaller than the sum of its proper divisors (281964330076869).

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

152929482451488 is an frugal number, since it uses more digits than its factorization.

152929482451488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457418 (or 728706 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

152929482451488 divided by its sum of digits (72) gives a square (2124020589604 = 14574022).

The spelling of 152929482451488 in words is "one hundred fifty-two trillion, nine hundred twenty-nine billion, four hundred eighty-two million, four hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 728701 1457402 2186103 2914804 4372206 5829608 6558309 8744412 11659216 13116618 17488824 23318432 26233236 34977648 52466472 69955296 104932944 209865888 531005147401 1062010294802 1593015442203 2124020589604 3186030884406 4248041179208 4779046326609 6372061768812 8496082358416 9558092653218 12744123537624 16992164716832 19116185306436 25488247075248 38232370612872 50976494150496 76464741225744 152929482451488