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53482886376192 = 283271317293116691
BaseRepresentation
bin11000010100100011101000…
…11100011010101100000000
321000100220200022100002100200
430022101310130122230000
524002230422403014232
6305425410535445200
714160003532226610
oct1412216434325400
9230326608302320
1053482886376192
111604aa68077409
125bb9412526800
1323ac5509a6910
14d2c82a908a40
1562b32c86877c
hex30a47471ab00

53482886376192 has 1728 divisors, whose sum is σ = 214602308444160. Its totient is φ = 12403644825600.

The previous prime is 53482886376187. The next prime is 53482886376233. The reversal of 53482886376192 is 29167368828435.

53482886376192 is a `hidden beast` number, since 5 + 3 + 48 + 28 + 8 + 6 + 376 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 53482886376192.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3204286567 + ... + 3204303257.

It is an arithmetic number, because the mean of its divisors is an integer number (124191150720).

Almost surely, 253482886376192 is an apocalyptic number.

53482886376192 is a gapful number since it is divisible by the number (52) 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 53482886376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107301154222080).

53482886376192 is an abundant number, since it is smaller than the sum of its proper divisors (161119422067968).

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

53482886376192 is a wasteful number, since it uses less digits than its factorization.

53482886376192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16793 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 53482886376192 in words is "fifty-three trillion, four hundred eighty-two billion, eight hundred eighty-six million, three hundred seventy-six thousand, one hundred ninety-two".