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103137495888 = 24374318893779
BaseRepresentation
bin110000000001101111…
…0010100101101010000
3100212012211101122111010
41200003132110231100
53142211144332023
6115214122250520
710310562151560
oct1400336245520
9325184348433
10103137495888
113a816478209
1217ba4656a40
13995883559b
144dc5a18da0
152a398dd093
hex1803794b50

103137495888 has 160 divisors (see below), whose sum is σ = 311830041600. Its totient is φ = 28759707648.

The previous prime is 103137495887. The next prime is 103137495947. The reversal of 103137495888 is 888594731301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103137495887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27290383 + ... + 27294161.

It is an arithmetic number, because the mean of its divisors is an integer number (1948937760).

Almost surely, 2103137495888 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 103137495888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155915020800).

103137495888 is an abundant number, since it is smaller than the sum of its proper divisors (208692545712).

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

103137495888 is a wasteful number, since it uses less digits than its factorization.

103137495888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 103137495888 in words is "one hundred three billion, one hundred thirty-seven million, four hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 1889 2064 2408 3612 3778 3779 4816 5667 7224 7556 7558 11334 11337 13223 14448 15112 15116 22668 22674 26446 26453 30224 30232 39669 45336 45348 52892 52906 60464 79338 79359 81227 90672 90696 105784 105812 158676 158718 162454 162497 181392 211568 211624 243681 317352 317436 324908 324994 423248 487362 487491 568589 634704 634872 649816 649988 974724 974982 1137178 1137479 1269744 1299632 1299976 1705767 1949448 1949964 2274356 2274958 2599952 3411534 3412437 3898896 3899928 4548712 4549916 6823068 6824874 7138531 7799856 9097424 9099832 13646136 13649748 14277062 18199664 21415593 27292272 27299496 28554124 42831186 49969717 54598992 57108248 85662372 99939434 114216496 149909151 171324744 199878868 299818302 306956833 342649488 399757736 599636604 613913666 799515472 920870499 1199273208 1227827332 1841740998 2148697831 2398546416 2455654664 3683481996 4297395662 4911309328 6446093493 7366963992 8594791324 12892186986 14733927984 17189582648 25784373972 34379165296 51568747944 103137495888