Search a number
-
+
151069032976 = 24971692
BaseRepresentation
bin1000110010110001101…
…0101000001000010000
3112102221021001000102111
42030230122220020100
54433342133023401
6153222233355104
713625426410321
oct2145432501020
9472837030374
10151069032976
1159082592484
1225340868a94
1311326ba9c54
14745174c448
153de2899e51
hex232c6a8210

151069032976 has 15 divisors (see below), whose sum is σ = 292699263661. Its totient is φ = 75533739136.

The previous prime is 151069032949. The next prime is 151069033033. The reversal of 151069032976 is 679230960151.

The square root of 151069032976 is 388676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56893698576 + 94175334400 = 238524^2 + 306880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1506120 + ... + 1603288.

Almost surely, 2151069032976 is an apocalyptic number.

151069032976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151069032976 is the 388676-th square number.

It is an amenable number.

151069032976 is a deficient number, since it is larger than the sum of its proper divisors (141630230685).

151069032976 is an frugal number, since it uses more digits than its factorization.

151069032976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194346 (or 97171 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 151069032976 by its sum of digits (49), we get a square (7402382615824 = 27207322).

The spelling of 151069032976 in words is "one hundred fifty-one billion, sixty-nine million, thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 97169 194338 388676 777352 1554704 9441814561 18883629122 37767258244 75534516488 151069032976