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46477228434672 = 2437138325084627
BaseRepresentation
bin10101001000101010100101…
…01100001110010011110000
320002120011211221221220022210
422210111102230032103300
522042440330434402142
6242503202144532120
712534604022241150
oct1244252254162360
9202504757856283
1046477228434672
1113899977879942
125267721921040
131cc1a26117ac9
14b6971d0a4760
15558ea559c49c
hex2a4552b0e4f0

46477228434672 has 40 divisors (see below), whose sum is σ = 137218483950976. Its totient is φ = 13279208124096.

The previous prime is 46477228434667. The next prime is 46477228434731. The reversal of 46477228434672 is 27643482277464.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69162541978 + ... + 69162542649.

Almost surely, 246477228434672 is an apocalyptic number.

46477228434672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46477228434672 is an abundant number, since it is smaller than the sum of its proper divisors (90741255516304).

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

46477228434672 is a wasteful number, since it uses less digits than its factorization.

46477228434672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138325084645 (or 138325084639 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 66.

The spelling of 46477228434672 in words is "forty-six trillion, four hundred seventy-seven billion, two hundred twenty-eight million, four hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 138325084627 276650169254 414975253881 553300338508 829950507762 968275592389 1106600677016 1659901015524 1936551184778 2213201354032 2904826777167 3319802031048 3873102369556 5809653554334 6639604062096 7746204739112 11619307108668 15492409478224 23238614217336 46477228434672