Search a number
-
+
96511347072 = 273472271701
BaseRepresentation
bin101100111100010000…
…1100100100110000000
3100020010001010102010000
41121320201210212000
53040123401101242
6112200421040000
76654432625500
oct1317041444600
9306101112100
1096511347072
1137a26159568
1216855556000
139140b16b7a
1449579b7a00
15279cd1ea4c
hex1678864980

96511347072 has 480 divisors, whose sum is σ = 335819895840. Its totient is φ = 27433728000.

The previous prime is 96511347047. The next prime is 96511347131. The reversal of 96511347072 is 27074311569.

96511347072 is a `hidden beast` number, since 9 + 65 + 113 + 470 + 7 + 2 = 666.

It is a super-2 number, since 2×965113470722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137676322 + ... + 137677022.

It is an arithmetic number, because the mean of its divisors is an integer number (699624783).

Almost surely, 296511347072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96511347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167909947920).

96511347072 is an abundant number, since it is smaller than the sum of its proper divisors (239308548768).

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

96511347072 is a wasteful number, since it uses less digits than its factorization.

96511347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 96511347072 in words is "ninety-six billion, five hundred eleven million, three hundred forty-seven thousand, seventy-two".