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156150016 = 28112712
BaseRepresentation
bin10010100111010…
…10100100000000
3101212211020112221
421103222210000
5304433300031
623254500424
73604152601
oct1123524400
9355736487
10156150016
1180162900
1244364714
1326473279
1416a49da8
15da96a11
hex94ea900

156150016 has 81 divisors (see below), whose sum is σ = 347494819. Its totient is φ = 69977600.

The previous prime is 156150011. The next prime is 156150053. The reversal of 156150016 is 610051651.

The square root of 156150016 is 12496.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156150011) 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, 2199261 + ... + 2199331.

Almost surely, 2156150016 is an apocalyptic number.

156150016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156150016 is the 12496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156150016

156150016 is an abundant number, since it is smaller than the sum of its proper divisors (191344803).

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

156150016 is an frugal number, since it uses more digits than its factorization.

156150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 156150016 is about 538.4937631955.

Multiplying 156150016 by its sum of digits (25), we get a square (3903750400 = 624802).

Multiplying 156150016 by its product of nonzero digits (900), we get a square (140535014400 = 3748802).

The spelling of 156150016 in words is "one hundred fifty-six million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 142 176 242 256 284 352 484 568 704 781 968 1136 1408 1562 1936 2272 2816 3124 3872 4544 5041 6248 7744 8591 9088 10082 12496 15488 17182 18176 20164 24992 30976 34364 40328 49984 55451 68728 80656 99968 110902 137456 161312 199936 221804 274912 322624 443608 549824 609961 645248 887216 1099648 1219922 1290496 1774432 2199296 2439844 3548864 4879688 7097728 9759376 14195456 19518752 39037504 78075008 156150016