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5954062401144 = 2336111313154499
BaseRepresentation
bin101011010100100100111…
…0001100011111001111000
3210002012110211211202000000
41112221021301203321320
51240022404433314034
620355131500513000
71153111134236424
oct126511161437170
923065424752000
105954062401144
111996116004520
12801b2b54b760
1334260911c640
1416826cc17b84
15a4d2b092599
hex56a49c63e78

5954062401144 has 448 divisors, whose sum is σ = 19814865840000. Its totient is φ = 1652728147200.

The previous prime is 5954062401103. The next prime is 5954062401181. The reversal of 5954062401144 is 4411042604595.

5954062401144 is a `hidden beast` number, since 5 + 9 + 5 + 4 + 0 + 624 + 0 + 1 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5954062401144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 109223607 + ... + 109278105.

It is an arithmetic number, because the mean of its divisors is an integer number (44229611250).

Almost surely, 25954062401144 is an apocalyptic number.

5954062401144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5954062401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907432920000).

5954062401144 is an abundant number, since it is smaller than the sum of its proper divisors (13860803438856).

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

5954062401144 is a wasteful number, since it uses less digits than its factorization.

5954062401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54678 (or 54659 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5954062401144 in words is "five trillion, nine hundred fifty-four billion, sixty-two million, four hundred one thousand, one hundred forty-four".