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1972866870144 = 27321712558047
BaseRepresentation
bin11100101101011000000…
…001110110101110000000
320222121022111002001002200
4130231120001312232000
5224310412404321034
64110153355513200
7262351323464142
oct34553001665600
96877274061080
101972866870144
116a0762a08825
1227a431158800
1311406b110551
146b6b70b4c92
15364badeba99
hex1cb58076b80

1972866870144 has 48 divisors (see below), whose sum is σ = 5677129929120. Its totient is φ = 657622289664.

The previous prime is 1972866870133. The next prime is 1972866870157. The reversal of 1972866870144 is 4410786682791.

1972866870144 is a `hidden beast` number, since 1 + 97 + 286 + 68 + 70 + 144 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 856277872 + ... + 856280175.

It is an arithmetic number, because the mean of its divisors is an integer number (118273540190).

Almost surely, 21972866870144 is an apocalyptic number.

It is an amenable number.

1972866870144 is an abundant number, since it is smaller than the sum of its proper divisors (3704263058976).

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

1972866870144 is a wasteful number, since it uses less digits than its factorization.

1972866870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712558067 (or 1712558052 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1972866870144 in words is "one trillion, nine hundred seventy-two billion, eight hundred sixty-six million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1712558047 3425116094 5137674141 6850232188 10275348282 13700464376 15413022423 20550696564 27400928752 30826044846 41101393128 54801857504 61652089692 82202786256 109603715008 123304179384 164405572512 219207430016 246608358768 328811145024 493216717536 657622290048 986433435072 1972866870144