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13239410448 = 24311374714419
BaseRepresentation
bin11000101010010000…
…10101111100010000
31021011200021201212010
430111020111330100
5204103242113243
610025422302520
7646041063165
oct142510257420
937150251763
1013239410448
115684336030
122695a27a40
13132cb773a4
148d848a06c
15527493433
hex315215f10

13239410448 has 160 divisors (see below), whose sum is σ = 39137495040. Its totient is φ = 3820193280.

The previous prime is 13239410407. The next prime is 13239410449. The reversal of 13239410448 is 84401493231.

It is a super-2 number, since 2×132394104482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13239410449) 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, 910983 + ... + 925401.

It is an arithmetic number, because the mean of its divisors is an integer number (244609344).

Almost surely, 213239410448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13239410448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568747520).

13239410448 is an abundant number, since it is smaller than the sum of its proper divisors (25898084592).

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

13239410448 is a wasteful number, since it uses less digits than its factorization.

13239410448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14525 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13239410448 in words is "thirteen billion, two hundred thirty-nine million, four hundred ten thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 47 48 66 74 88 94 111 132 141 148 176 188 222 264 282 296 376 407 444 517 528 564 592 752 814 888 1034 1128 1221 1551 1628 1739 1776 2068 2256 2442 3102 3256 3478 4136 4884 5217 6204 6512 6956 8272 9768 10434 12408 13912 14419 19129 19536 20868 24816 27824 28838 38258 41736 43257 57387 57676 76516 83472 86514 114774 115352 153032 158609 173028 229548 230704 306064 317218 346056 459096 475827 533503 634436 677693 692112 918192 951654 1067006 1268872 1355386 1600509 1903308 2033079 2134012 2537744 2710772 3201018 3806616 4066158 4268024 5421544 5868533 6402036 7454623 7613232 8132316 8536048 10843088 11737066 12804072 14909246 16264632 17605599 22363869 23474132 25074641 25608144 29818492 32529264 35211198 44727738 46948264 50149282 59636984 70422396 75223923 89455476 93896528 100298564 119273968 140844792 150447846 178910952 200597128 275821051 281689584 300895692 357821904 401194256 551642102 601791384 827463153 1103284204 1203582768 1654926306 2206568408 3309852612 4413136816 6619705224 13239410448