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872744408076 = 2232693115871481
BaseRepresentation
bin11001011001100111001…
…11101101010000001100
310002102201001120112222210
430230303213231100030
5103244340032024301
61504533325310420
7120024264032262
oct14546347552014
93072631515883
10872744408076
11307146514212
12121188405410
13643b7b58818
1430353650432
1517a7e80aad6
hexcb339ed40c

872744408076 has 96 divisors (see below), whose sum is σ = 2055426347520. Its totient is φ = 288214489600.

The previous prime is 872744408023. The next prime is 872744408083. The reversal of 872744408076 is 670804447278.

872744408076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8727444080762 (a number of 25 digits) contains 22 as substring.

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, 589293256 + ... + 589294736.

It is an arithmetic number, because the mean of its divisors is an integer number (21410691120).

Almost surely, 2872744408076 is an apocalyptic number.

It is an amenable number.

872744408076 is an abundant number, since it is smaller than the sum of its proper divisors (1182681939444).

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

872744408076 is a wasteful number, since it uses less digits than its factorization.

872744408076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 57.

The spelling of 872744408076 in words is "eight hundred seventy-two billion, seven hundred forty-four million, four hundred eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 269 311 538 587 622 807 933 1076 1174 1244 1481 1614 1761 1866 2348 2962 3228 3522 3732 4443 5924 7044 8886 17772 83659 157903 167318 182557 250977 315806 334636 365114 398389 460591 473709 501954 547671 631612 730228 796778 869347 921182 947418 1003908 1095342 1195167 1381773 1593556 1738694 1842364 1894836 2190684 2390334 2608041 2763546 3477388 4780668 5216082 5527092 10432164 49107833 98215666 123898979 147323499 196431332 233854343 247797958 270366917 294646998 371696937 467708686 495595916 540733834 589293996 701563029 743393874 811100751 935417372 1081467668 1403126058 1486787748 1622201502 2806252116 3244403004 72728700673 145457401346 218186102019 290914802692 436372204038 872744408076