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1972144702592 = 2771295773387
BaseRepresentation
bin11100101100101100111…
…111000000010010000000
320222112110011012010110022
4130230230333000102000
5224302423020440332
64105554001153012
7262324404245321
oct34545477002200
96875404163408
101972144702592
116a04222a8639
1227a26b32b768
13113c8460c27c
146b64920a448
15364777eb212
hex1cb2cfc0480

1972144702592 has 64 divisors (see below), whose sum is σ = 3985620085440. Its totient is φ = 971841991680.

The previous prime is 1972144702579. The next prime is 1972144702601. The reversal of 1972144702592 is 2952074412791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26836523 + ... + 26909909.

It is an arithmetic number, because the mean of its divisors is an integer number (62275313835).

Almost surely, 21972144702592 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 1972144702592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992810042720).

1972144702592 is an abundant number, since it is smaller than the sum of its proper divisors (2013475382848).

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

1972144702592 is an equidigital number, since it uses as much as digits as its factorization.

1972144702592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76429 (or 76417 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 1972144702592 in words is "one trillion, nine hundred seventy-two billion, one hundred forty-four million, seven hundred two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 2957 4544 5914 9088 11828 23656 47312 73387 94624 146774 189248 209947 293548 378496 419894 587096 839788 1174192 1679576 2348384 3359152 4696768 5210477 6718304 9393536 10420954 13436608 20841908 26873216 41683816 83367632 166735264 217005359 333470528 434010718 666941056 868021436 1736042872 3472085744 6944171488 13888342976 15407380489 27776685952 30814760978 61629521956 123259043912 246518087824 493036175648 986072351296 1972144702592