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72154145140 = 22571146853341
BaseRepresentation
bin100001100110010111…
…0001110000101110100
320220020112202100110221
41003030232032011310
52140232430121030
653051441424124
75133022054120
oct1031456160564
9226215670427
1072154145140
1128667152210
1211b9833b044
136a5b81254c
1436c6b58580
151d247c0e7a
hex10ccb8e174

72154145140 has 48 divisors (see below), whose sum is σ = 188912674944. Its totient is φ = 22489603200.

The previous prime is 72154145123. The next prime is 72154145183. The reversal of 72154145140 is 4154145127.

It is a junction number, because it is equal to n+sod(n) for n = 72154145096 and 72154145105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23425131 + ... + 23428210.

It is an arithmetic number, because the mean of its divisors is an integer number (3935680728).

Almost surely, 272154145140 is an apocalyptic number.

72154145140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72154145140 is an abundant number, since it is smaller than the sum of its proper divisors (116758529804).

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

72154145140 is a wasteful number, since it uses less digits than its factorization.

72154145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46853368 (or 46853366 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 72154145140 in words is "seventy-two billion, one hundred fifty-four million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 46853341 93706682 187413364 234266705 327973387 468533410 515386751 655946774 937066820 1030773502 1311893548 1639866935 2061547004 2576933755 3279733870 3607707257 5153867510 6559467740 7215414514 10307735020 14430829028 18038536285 36077072570 72154145140