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2137935904 = 251317928711
BaseRepresentation
bin111111101101110…
…0101000000100000
312111222220101201021
41333123211000200
513334302422104
6552051215224
7103660104166
oct17733450040
95458811637
102137935904
119a7899985
124b7ba7514
13280c11040
14163d23236
15c7a5c754
hex7f6e5020

2137935904 has 48 divisors (see below), whose sum is σ = 4558317120. Its totient is φ = 981192960.

The previous prime is 2137935853. The next prime is 2137935949. The reversal of 2137935904 is 4095397312.

It is a super-2 number, since 2×21379359042 = 9141539859224594432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60109 + ... + 88819.

It is an arithmetic number, because the mean of its divisors is an integer number (94964940).

Almost surely, 22137935904 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 2137935904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279158560).

2137935904 is an abundant number, since it is smaller than the sum of its proper divisors (2420381216).

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

2137935904 is a wasteful number, since it uses less digits than its factorization.

2137935904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28913 (or 28905 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 2137935904 is about 46237.8189797053. The cubic root of 2137935904 is about 1288.2442922299.

The spelling of 2137935904 in words is "two billion, one hundred thirty-seven million, nine hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 716 1432 2327 2864 4654 5728 9308 18616 28711 37232 57422 74464 114844 229688 373243 459376 746486 918752 1492972 2985944 5139269 5971888 10278538 11943776 20557076 41114152 66810497 82228304 133620994 164456608 267241988 534483976 1068967952 2137935904