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96720327808 = 2713210144269
BaseRepresentation
bin101101000010011111…
…0110001010010000000
3100020122121100201210021
41122010332301102000
53041040400442213
6112233244143224
76662551135666
oct1320476612200
9306577321707
1096720327808
1138023115915
12168b3537b14
1391751c6b00
144977656c36
1527b134ed8d
hex1684fb1480

96720327808 has 96 divisors (see below), whose sum is σ = 210717674100. Its totient is φ = 44197171200.

The previous prime is 96720327797. The next prime is 96720327817. The reversal of 96720327808 is 80872302769.

It can be written as a sum of positive squares in 6 ways, for example, as 70114803264 + 26605524544 = 264792^2 + 163112^2 .

It is a super-2 number, since 2×967203278082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2162698 + ... + 2206966.

Almost surely, 296720327808 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 96720327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105358837050).

96720327808 is an abundant number, since it is smaller than the sum of its proper divisors (113997346292).

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

96720327808 is a wasteful number, since it uses less digits than its factorization.

96720327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44410 (or 44385 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 96720327808 in words is "ninety-six billion, seven hundred twenty million, three hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 169 202 208 338 404 416 676 808 832 1313 1352 1616 1664 2626 2704 3232 5252 5408 6464 10504 10816 12928 17069 21008 21632 34138 42016 44269 68276 84032 88538 136552 168064 177076 273104 354152 546208 575497 708304 1092416 1150994 1416608 2184832 2301988 2833216 4471169 4603976 5666432 7481461 8942338 9207952 14962922 17884676 18415904 29925844 35769352 36831808 58125197 59851688 71538704 73663616 116250394 119703376 143077408 232500788 239406752 286154816 465001576 478813504 572309632 755627561 930003152 957627008 1511255122 1860006304 3022510244 3720012608 6045020488 7440025216 12090040976 24180081952 48360163904 96720327808