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903138126016 = 2673171915917
BaseRepresentation
bin11010010010001110011…
…10100010100011000000
310012100011020201101211211
431021013032202203000
5104244111330013031
61530521304215504
7122151414256660
oct15110716424300
93170136641754
10903138126016
11319022a22375
1212704b16a594
136721c9729c9
14319d80a61a0
151875cca6bb1
hexd2473a28c0

903138126016 has 112 divisors (see below), whose sum is σ = 2144039473152. Its totient is φ = 369297331200.

The previous prime is 903138125999. The next prime is 903138126067. The reversal of 903138126016 is 610621831309.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 903138126016.

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, 528090 + ... + 1444006.

Almost surely, 2903138126016 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 903138126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072019736576).

903138126016 is an abundant number, since it is smaller than the sum of its proper divisors (1240901347136).

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

903138126016 is a wasteful number, since it uses less digits than its factorization.

903138126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916038 (or 916028 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 903138126016 in words is "nine hundred three billion, one hundred thirty-eight million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 142 217 224 248 284 434 448 496 497 568 868 992 994 1136 1736 1984 1988 2201 2272 3472 3976 4402 4544 6944 7952 8804 13888 15407 15904 17608 30814 31808 35216 61628 70432 123256 140864 246512 493024 915917 986048 1831834 3663668 6411419 7327336 12822838 14654672 25645676 28393427 29309344 51291352 56786854 58618688 65030107 102582704 113573708 130060214 198753989 205165408 227147416 260120428 397507978 410330816 454294832 455210749 520240856 795015956 908589664 910421498 1040481712 1590031912 1817179328 1820842996 2015933317 2080963424 3180063824 3641685992 4031866634 4161926848 6360127648 7283371984 8063733268 12720255296 14111533219 14566743968 16127466536 28223066438 29133487936 32254933072 56446132876 64509866144 112892265752 129019732288 225784531504 451569063008 903138126016