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58151412512 = 254729072
BaseRepresentation
bin110110001010000110…
…000010001100100000
312120002200010211102222
4312022012002030200
51423043230200022
642414150330212
74126021564544
oct661206021440
9176080124388
1058151412512
1122730a57a06
12b32a959968
13563978793b
142b5916da24
1517a52ed242
hexd8a182320

58151412512 has 54 divisors (see below), whose sum is σ = 117102393387. Its totient is φ = 28425699264.

The previous prime is 58151412497. The next prime is 58151412523. The reversal of 58151412512 is 21521415185.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 29075706256 + 29075706256 = 170516^2 + 170516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=170516.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64113563 + ... + 64114469.

Almost surely, 258151412512 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 58151412512

58151412512 is an abundant number, since it is smaller than the sum of its proper divisors (58950980875).

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

58151412512 is an frugal number, since it uses more digits than its factorization.

58151412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 956 counting only the distinct ones).

The product of its digits is 16000, while the sum is 35.

Adding to 58151412512 its reverse (21521415185), we get a palindrome (79672827697).

The spelling of 58151412512 in words is "fifty-eight billion, one hundred fifty-one million, four hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 907 1504 1814 2209 3628 4418 7256 8836 14512 17672 29024 35344 42629 70688 85258 170516 341032 682064 822649 1364128 1645298 2003563 3290596 4007126 6581192 8014252 13162384 16028504 26324768 32057008 38664503 64114016 77329006 154658012 309316024 618632048 1237264096 1817231641 3634463282 7268926564 14537853128 29075706256 58151412512