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1972103210976 = 25325398090879
BaseRepresentation
bin11100101100101010100…
…000101110011111100000
320222112100021010010122210
4130230222200232133200
5224302331410222401
64105545520002120
7262323361465443
oct34545240563740
96875307103583
101972103210976
116a0400939348
1227a259460340
13113c78b42812
146b6438c965a
1536473d524d6
hex1cb2a82e7e0

1972103210976 has 48 divisors (see below), whose sum is σ = 5178810470400. Its totient is φ = 657108747648.

The previous prime is 1972103210939. The next prime is 1972103210983. The reversal of 1972103210976 is 6790123012791.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3801696 + ... + 4289183.

It is an arithmetic number, because the mean of its divisors is an integer number (107891884800).

Almost surely, 21972103210976 is an apocalyptic number.

1972103210976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972103210976 is an abundant number, since it is smaller than the sum of its proper divisors (3206707259424).

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

1972103210976 is a wasteful number, since it uses less digits than its factorization.

1972103210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093431 (or 8093423 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 1972103210976 in words is "one trillion, nine hundred seventy-two billion, one hundred three million, two hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2539 5078 7617 10156 15234 20312 30468 40624 60936 81248 121872 243744 8090879 16181758 24272637 32363516 48545274 64727032 97090548 129454064 194181096 258908128 388362192 776724384 20542741781 41085483562 61628225343 82170967124 123256450686 164341934248 246512901372 328683868496 493025802744 657367736992 986051605488 1972103210976