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123980278752 = 253311193257263
BaseRepresentation
bin111001101110111001…
…1001110101111100000
3102212000101202201111000
41303131303032233200
54012402422410002
6132542235352000
711646226660431
oct1633563165740
9385011681430
10123980278752
11486416a94a0
12200408b2600
13b8ca9c24b5
146001c05488
15335963261c
hex1cddccebe0

123980278752 has 384 divisors, whose sum is σ = 399583134720. Its totient is φ = 37088133120.

The previous prime is 123980278733. The next prime is 123980278837. The reversal of 123980278752 is 257872089321.

It is a super-2 number, since 2×1239802787522 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471407773 + ... + 471408035.

It is an arithmetic number, because the mean of its divisors is an integer number (1040581080).

Almost surely, 2123980278752 is an apocalyptic number.

123980278752 is a gapful number since it is divisible by the number (12) 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 123980278752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199791567360).

123980278752 is an abundant number, since it is smaller than the sum of its proper divisors (275602855968).

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

123980278752 is a wasteful number, since it uses less digits than its factorization.

123980278752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 123980278752 in words is "one hundred twenty-three billion, nine hundred eighty million, two hundred seventy-eight thousand, seven hundred fifty-two".