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10162416152 = 2372193736877
BaseRepresentation
bin10010111011011101…
…00010101000011000
3222020020101020012102
421131232202220120
5131303034304102
64400223502532
7506556053300
oct113556425030
928206336172
1010162416152
114345467739
121b77457a48
13c5c5458c5
146c5960600
153e7291402
hex25dba2a18

10162416152 has 96 divisors (see below), whose sum is σ = 23963324400. Its totient is φ = 4014468864.

The previous prime is 10162416113. The next prime is 10162416157. The reversal of 10162416152 is 25161426101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162416157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257138 + ... + 294014.

Almost surely, 210162416152 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 10162416152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981662200).

10162416152 is an abundant number, since it is smaller than the sum of its proper divisors (13800908248).

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

10162416152 is a wasteful number, since it uses less digits than its factorization.

10162416152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36953 (or 36942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10162416152 in words is "ten billion, one hundred sixty-two million, four hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 37 38 49 56 74 76 98 133 148 152 196 259 266 296 392 518 532 703 931 1036 1064 1406 1813 1862 2072 2812 3626 3724 4921 5624 7252 7448 9842 14504 19684 34447 36877 39368 68894 73754 137788 147508 258139 275576 295016 516278 700663 1032556 1364449 1401326 1806973 2065112 2728898 2802652 3613946 4904641 5457796 5605304 7227892 9551143 9809282 10915592 14455784 19102286 19618564 25924531 34332487 38204572 39237128 51849062 66858001 68664974 76409144 103698124 133716002 137329948 181471717 207396248 267432004 274659896 362943434 534864008 725886868 1270302019 1451773736 2540604038 5081208076 10162416152