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10161723808 = 253773891321
BaseRepresentation
bin10010111011010111…
…11001100110100000
3222020012002001111001
421131223321212200
5131302400130213
64400201001344
7506550140635
oct113553714640
928205061431
1010161723808
114345034555
121b77183254
13c5c362732
146c582018c
153e71a61dd
hex25daf99a0

10161723808 has 96 divisors (see below), whose sum is σ = 21078020880. Its totient is φ = 4817387520.

The previous prime is 10161723799. The next prime is 10161723883. The reversal of 10161723808 is 80832716101.

It can be written as a sum of positive squares in 8 ways, for example, as 8356153744 + 1805570064 = 91412^2 + 42492^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7691788 + ... + 7693108.

Almost surely, 210161723808 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 10161723808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539010440).

10161723808 is an abundant number, since it is smaller than the sum of its proper divisors (10916297072).

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

10161723808 is a wasteful number, since it uses less digits than its factorization.

10161723808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10161723808 in words is "ten billion, one hundred sixty-one million, seven hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 37 73 74 89 146 148 178 292 296 356 584 592 712 1168 1184 1321 1424 2336 2642 2701 2848 3293 5284 5402 6497 6586 10568 10804 12994 13172 21136 21608 25988 26344 42272 43216 48877 51976 52688 86432 96433 97754 103952 105376 117569 192866 195508 207904 235138 240389 385732 391016 470276 480778 771464 782032 940552 961556 1542928 1564064 1881104 1923112 3085856 3568021 3762208 3846224 4350053 7136042 7692448 8582537 8700106 14272084 17165074 17400212 28544168 34330148 34800424 57088336 68660296 69600848 114176672 137320592 139201696 274641184 317553869 635107738 1270215476 2540430952 5080861904 10161723808