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72322411842 = 23670432
BaseRepresentation
bin100001101011011000…
…0000110110101000010
320220200021101012000000
41003112300012311002
52141104014134332
653120252140430
75140134233442
oct1032660066502
9226607335000
1072322411842
11287431304aa
1212024767716
136a87638945
14370123a122
151d3445cb7c
hex10d6c06d42

72322411842 has 42 divisors (see below), whose sum is σ = 162674118147. Its totient is φ = 24104047716.

The previous prime is 72322411831. The next prime is 72322411853. The reversal of 72322411842 is 24811422327.

72322411842 is a `hidden beast` number, since 7 + 232 + 2 + 411 + 8 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72322411831) and next prime (72322411853).

It can be written as a sum of positive squares in only one way, i.e., 36161205921 + 36161205921 = 190161^2 + 190161^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190161.

It is a junction number, because it is equal to n+sod(n) for n = 72322411797 and 72322411806.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10265173 + ... + 10272215.

Almost surely, 272322411842 is an apocalyptic number.

72322411842 is an abundant number, since it is smaller than the sum of its proper divisors (90351706305).

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

72322411842 is an frugal number, since it uses more digits than its factorization.

72322411842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 7048 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 72322411842 in words is "seventy-two billion, three hundred twenty-two million, four hundred eleven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 7043 14086 21129 42258 63387 126774 190161 380322 570483 1140966 1711449 3422898 5134347 10268694 49603849 99207698 148811547 297623094 446434641 892869282 1339303923 2678607846 4017911769 8035823538 12053735307 24107470614 36161205921 72322411842