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1970392800864 = 253191397771649
BaseRepresentation
bin11100101011000100100…
…100000001111001100000
320222100221001200022002010
4130223010210001321200
5224240331024111424
64105104055552520
7262233112315155
oct34530444017140
96870831608063
101970392800864
1169a703405974
12279a6068b740
13113a6568cb27
146b52069422c
15363c3ae4229
hex1cac4901e60

1970392800864 has 96 divisors (see below), whose sum is σ = 5483676240000. Its totient is φ = 617752756224.

The previous prime is 1970392800863. The next prime is 1970392800917. The reversal of 1970392800864 is 4680082930791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970392800863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3632289 + ... + 4139360.

It is an arithmetic number, because the mean of its divisors is an integer number (57121627500).

Almost surely, 21970392800864 is an apocalyptic number.

It is an amenable number.

1970392800864 is an abundant number, since it is smaller than the sum of its proper divisors (3513283439136).

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

1970392800864 is a wasteful number, since it uses less digits than its factorization.

1970392800864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771820 (or 7771812 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1970392800864 in words is "one trillion, nine hundred seventy billion, three hundred ninety-two million, eight hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 139 152 228 278 304 417 456 556 608 834 912 1112 1668 1824 2224 2641 3336 4448 5282 6672 7923 10564 13344 15846 21128 31692 42256 63384 84512 126768 253536 7771649 15543298 23314947 31086596 46629894 62173192 93259788 124346384 147661331 186519576 248692768 295322662 373039152 442983993 590645324 746078304 885967986 1080259211 1181290648 1771935972 2160518422 2362581296 3240777633 3543871944 4321036844 4725162592 6481555266 7087743888 8642073688 12963110532 14175487776 17284147376 20524925009 25926221064 34568294752 41049850018 51852442128 61574775027 82099700036 103704884256 123149550054 164199400072 246299100108 328398800144 492598200216 656797600288 985196400432 1970392800864