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72646245762740 = 225132549109615001
BaseRepresentation
bin10000100001001001000101…
…101011000100011010110100
3100112012220122202212211112022
4100201021011223010122310
534010214002403401430
6414301120302012312
721205342456341536
oct2041110553043264
9315186582784468
1072646245762740
1121169110938531
1281933b4877098
13316c685c34710
1413d215046b856
1585ea678094e5
hex421245ac46b4

72646245762740 has 48 divisors (see below), whose sum is σ = 164356733998800. Its totient is φ = 26812705920000.

The previous prime is 72646245762731. The next prime is 72646245762751. The reversal of 72646245762740 is 4726754264627.

It can be written as a sum of positive squares in 8 ways, for example, as 7940921105296 + 64705324657444 = 2817964^2 + 8043962^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54144761 + ... + 55470240.

It is an arithmetic number, because the mean of its divisors is an integer number (3424098624975).

Almost surely, 272646245762740 is an apocalyptic number.

It is an amenable number.

72646245762740 is an abundant number, since it is smaller than the sum of its proper divisors (91710488236060).

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

72646245762740 is a wasteful number, since it uses less digits than its factorization.

72646245762740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109617572 (or 109617570 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 62.

The spelling of 72646245762740 in words is "seventy-two trillion, six hundred forty-six billion, two hundred forty-five million, seven hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2549 5098 10196 12745 25490 33137 50980 66274 132548 165685 331370 662740 109615001 219230002 438460004 548075005 1096150010 1424995013 2192300020 2849990026 5699980052 7124975065 14249950130 28499900260 279408637549 558817275098 1117634550196 1397043187745 2794086375490 3632312288137 5588172750980 7264624576274 14529249152548 18161561440685 36323122881370 72646245762740