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72540713960862 = 23740111533735587
BaseRepresentation
bin10000011111100110110011…
…011111001100010110011110
3100111211211021002011211200120
4100133212303133030112132
534002001340233221422
6414140424405135410
721164615342000010
oct2037466337142636
9314754232154616
1072540713960862
1121128386997844
128176a623ba566
133162738358134
1413cadbc8761b0
1585be3cb1c45c
hex41f9b37cc59e

72540713960862 has 64 divisors (see below), whose sum is σ = 166365039158784. Its totient is φ = 20656296345600.

The previous prime is 72540713960849. The next prime is 72540713960867. The reversal of 72540713960862 is 26806931704527.

It is a junction number, because it is equal to n+sod(n) for n = 72540713960796 and 72540713960805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72540713960867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17551033 + ... + 21286619.

It is an arithmetic number, because the mean of its divisors is an integer number (2599453736856).

It is a 1-persistent number, because it is pandigital, but 2⋅72540713960862 = 145081427921724 is not.

Almost surely, 272540713960862 is an apocalyptic number.

72540713960862 is an abundant number, since it is smaller than the sum of its proper divisors (93824325197922).

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

72540713960862 is a wasteful number, since it uses less digits than its factorization.

72540713960862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737153.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 72540713960862 in words is "seventy-two trillion, five hundred forty billion, seven hundred thirteen million, nine hundred sixty thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 401 802 1153 1203 2306 2406 2807 3459 5614 6918 8071 8421 16142 16842 24213 48426 462353 924706 1387059 2774118 3236471 3735587 6472942 7471174 9709413 11206761 19418826 22413522 26149109 52298218 78447327 156894654 1497970387 2995940774 4307131811 4493911161 8614263622 8987822322 10485792709 12921395433 20971585418 25842790866 30149922677 31457378127 60299845354 62914756254 90449768031 180899536062 1727159856211 3454319712422 5181479568633 10362959137266 12090118993477 24180237986954 36270356980431 72540713960862