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55972131840 = 2103353137353
BaseRepresentation
bin110100001000001100…
…101111010000000000
312100110210102220101000
4310020030233100000
51404112331204330
641414021012000
74021020161562
oct641014572000
9170423386330
1055972131840
112181289a0a9
12aa20b54000
13538012bc51
1429cd967332
1516c8d25560
hexd0832f400

55972131840 has 704 divisors, whose sum is σ = 211478353920. Its totient is φ = 14014218240.

The previous prime is 55972131833. The next prime is 55972131847. The reversal of 55972131840 is 4813127955.

55972131840 is a `hidden beast` number, since 5 + 597 + 2 + 1 + 3 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (55972131833) and next prime (55972131847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55972131847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158561104 + ... + 158561456.

Almost surely, 255972131840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55972131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105739176960).

55972131840 is an abundant number, since it is smaller than the sum of its proper divisors (155506222080).

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

55972131840 is a wasteful number, since it uses less digits than its factorization.

55972131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 55972131840 in words is "fifty-five billion, nine hundred seventy-two million, one hundred thirty-one thousand, eight hundred forty".