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55792284912 = 243271319331677
BaseRepresentation
bin110011111101011110…
…101011010011110000
312100000021000201202200
4303331132223103300
51403230311104122
641344114143200
74013404411530
oct637536532360
9170007021680
1055792284912
1121730321481
12a990881b00
135351aac950
1429b3b0d4c0
1516b814c5ac
hexcfd7ab4f0

55792284912 has 480 divisors, whose sum is σ = 203198661120. Its totient is φ = 13877360640.

The previous prime is 55792284883. The next prime is 55792285009. The reversal of 55792284912 is 21948229755.

55792284912 is a `hidden beast` number, since 5 + 579 + 2 + 28 + 49 + 1 + 2 = 666.

It is a super-2 number, since 2×557922849122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82410718 + ... + 82411394.

It is an arithmetic number, because the mean of its divisors is an integer number (423330544).

Almost surely, 255792284912 is an apocalyptic number.

55792284912 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 55792284912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101599330560).

55792284912 is an abundant number, since it is smaller than the sum of its proper divisors (147406376208).

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

55792284912 is a wasteful number, since it uses less digits than its factorization.

55792284912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 55792284912 in words is "fifty-five billion, seven hundred ninety-two million, two hundred eighty-four thousand, nine hundred twelve".