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72164741623746 = 232312739710371743
BaseRepresentation
bin10000011010001000101001…
…110010100010111111000010
3100110111212210220220012201220
4100122020221302202333002
533424321342323424441
6413252005153135510
721125505366602202
oct2032105162427702
9313455726805656
1072164741623746
1120aa2993352182
128116015b5a596
13313614b9803c5
1413b6b13870402
1585228587b466
hex41a229ca2fc2

72164741623746 has 64 divisors (see below), whose sum is σ = 152172900384768. Its totient is φ = 22770371308608.

The previous prime is 72164741623589. The next prime is 72164741623763. The reversal of 72164741623746 is 64732614746127.

It is a self number, because there is not a number n which added to its sum of digits gives 72164741623746.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771951 + ... + 12143693.

It is an arithmetic number, because the mean of its divisors is an integer number (2377701568512).

Almost surely, 272164741623746 is an apocalyptic number.

72164741623746 is an abundant number, since it is smaller than the sum of its proper divisors (80008158761022).

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

72164741623746 is a wasteful number, since it uses less digits than its factorization.

72164741623746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372295.

The product of its digits is 56899584, while the sum is 60.

The spelling of 72164741623746 in words is "seventy-two trillion, one hundred sixty-four billion, seven hundred forty-one million, six hundred twenty-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 23 46 69 127 138 254 381 397 762 794 1191 2382 2921 5842 8763 9131 17526 18262 27393 50419 54786 100838 151257 302514 1159637 2319274 3478911 6957822 10371743 20743486 31115229 62230458 238550089 477100178 715650267 1317211361 1431300534 2634422722 3951634083 4117581971 7903268166 8235163942 12352745913 24705491826 30295861303 60591722606 90887583909 94704385333 181775167818 189408770666 284113155999 522932910317 568226311998 1045865820634 1568798730951 3137597461902 12027456937291 24054913874582 36082370811873 72164741623746