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96270388704 = 2533729732103
BaseRepresentation
bin101100110101000101…
…0011000110111100000
3100012111020201110101000
41121222022120313200
53034130204414304
6112120452312000
76645445542120
oct1315212306740
9305436643330
1096270388704
1137912140a16
12167a8912600
139102c1ba59
1449339b2c80
152786ac4939
hex166a298de0

96270388704 has 576 divisors, whose sum is σ = 339844377600. Its totient is φ = 25939243008.

The previous prime is 96270388681. The next prime is 96270388801. The reversal of 96270388704 is 40788307269.

96270388704 is a `hidden beast` number, since 9 + 627 + 0 + 3 + 8 + 8 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 934663917 + ... + 934664019.

It is an arithmetic number, because the mean of its divisors is an integer number (590007600).

Almost surely, 296270388704 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 96270388704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169922188800).

96270388704 is an abundant number, since it is smaller than the sum of its proper divisors (243573988896).

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

96270388704 is a wasteful number, since it uses less digits than its factorization.

96270388704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 96270388704 in words is "ninety-six billion, two hundred seventy million, three hundred eighty-eight thousand, seven hundred four".