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1016907025888 = 251331132159693
BaseRepresentation
bin11101100110001000110…
…00011100110111100000
310121012210222222022220001
432303010120130313200
5113130111144312023
62055054410425344
7133316622046465
oct16630430346740
93535728868801
101016907025888
113622a4561766
12145100132254
1374b80c38380
143730ba4366c
151b6babc56ad
hexecc461cde0

1016907025888 has 96 divisors (see below), whose sum is σ = 2227310168832. Its totient is φ = 453850214400.

The previous prime is 1016907025879. The next prime is 1016907025889. The reversal of 1016907025888 is 8885207096101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016907025889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17005770 + ... + 17065462.

It is an arithmetic number, because the mean of its divisors is an integer number (23201147592).

Almost surely, 21016907025888 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 1016907025888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113655084416).

1016907025888 is an abundant number, since it is smaller than the sum of its proper divisors (1210403142944).

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

1016907025888 is a wasteful number, since it uses less digits than its factorization.

1016907025888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61068 (or 61060 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 1016907025888 in words is "one trillion, sixteen billion, nine hundred seven million, twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1321 1612 2642 3224 5284 6448 10568 12896 17173 21136 34346 40951 42272 59693 68692 81902 119386 137384 163804 238772 274768 327608 477544 532363 549536 655216 776009 955088 1064726 1310432 1552018 1850483 1910176 2129452 3104036 3700966 4258904 6208072 7401932 8517808 12416144 14803864 17035616 24056279 24832288 29607728 48112558 59215456 78854453 96225116 157708906 192450232 315417812 384900464 630835624 769800928 1025107889 1261671248 2050215778 2444488043 2523342496 4100431556 4888976086 8200863112 9777952172 16401726224 19555904344 31778344559 32803452448 39111808688 63556689118 78223617376 127113378236 254226756472 508453512944 1016907025888