Search a number
-
+
152295548352 = 2634716876723
BaseRepresentation
bin1000110111010110000…
…1011010010111000000
3112120002201221110012220
42031311201122113000
54443400130021402
6153544050051040
714001011542023
oct2156541322700
9476081843186
10152295548352
1159651959652
1225623579a80
13114910262ac
14752a5c11ba
153e653c1dbc
hex237585a5c0

152295548352 has 56 divisors (see below), whose sum is σ = 411522038016. Its totient is φ = 49685069568.

The previous prime is 152295548347. The next prime is 152295548359. The reversal of 152295548352 is 253845592251.

It is a junction number, because it is equal to n+sod(n) for n = 152295548295 and 152295548304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152295548359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8429338 + ... + 8447385.

Almost surely, 2152295548352 is an apocalyptic number.

152295548352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152295548352 is an abundant number, since it is smaller than the sum of its proper divisors (259226489664).

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

152295548352 is a wasteful number, since it uses less digits than its factorization.

152295548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876785 (or 16876775 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 51.

The spelling of 152295548352 in words is "one hundred fifty-two billion, two hundred ninety-five million, five hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 16876723 33753446 50630169 67506892 101260338 135013784 202520676 270027568 405041352 540055136 793205981 810082704 1080110272 1586411962 1620165408 2379617943 3172823924 3240330816 4759235886 6345647848 9518471772 12691295696 19036943544 25382591392 38073887088 50765182784 76147774176 152295548352