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58272072432 = 2437329312127
BaseRepresentation
bin110110010001010010…
…010100001011110000
312120102002011222201220
4312101102110023300
51423320122304212
642434140425040
74132015305000
oct662122241360
9176362158656
1058272072432
112279307a552
12b363248180
135658783042
142b6b1bc000
1517b0bd438c
hexd914942f0

58272072432 has 480 divisors, whose sum is σ = 189130752000. Its totient is φ = 15434012160.

The previous prime is 58272072431. The next prime is 58272072457. The reversal of 58272072432 is 23427027285.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58272072431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458835153 + ... + 458835279.

It is an arithmetic number, because the mean of its divisors is an integer number (394022400).

Almost surely, 258272072432 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 58272072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94565376000).

58272072432 is an abundant number, since it is smaller than the sum of its proper divisors (130858679568).

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

58272072432 is a wasteful number, since it uses less digits than its factorization.

58272072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 58272072432 in words is "fifty-eight billion, two hundred seventy-two million, seventy-two thousand, four hundred thirty-two".