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14051961961632 = 253474118889483
BaseRepresentation
bin1100110001111011101000…
…1100110111110010100000
31211202100120101112002210000
43030132322030313302200
53320211404230233012
645515214320140000
72650135500630060
oct314367214676240
954670511462700
1014051961961632
114528449214531
1216ab445767600
137ac12c3102ca
143681935953a0
151957ccb3eddc
hexcc7ba337ca0

14051961961632 has 240 divisors, whose sum is σ = 48382164274752. Its totient is φ = 3916922987520.

The previous prime is 14051961961571. The next prime is 14051961961637. The reversal of 14051961961632 is 23616916915041.

14051961961632 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 1 + 9 + 6 + 19 + 616 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14051961961637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8700838 + ... + 10188645.

Almost surely, 214051961961632 is an apocalyptic number.

14051961961632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14051961961632 is an abundant number, since it is smaller than the sum of its proper divisors (34330202313120).

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

14051961961632 is a wasteful number, since it uses less digits than its factorization.

14051961961632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18889553 (or 18889536 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 14051961961632 in words is "fourteen trillion, fifty-one billion, nine hundred sixty-one million, nine hundred sixty-one thousand, six hundred thirty-two".