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2938080569856 = 29323312682767
BaseRepresentation
bin101010110000010011001…
…111111010101000000000
3101101212200212221022112120
4222300103033322220000
5341114142111213411
610125422515124240
7422161242533115
oct52602317725000
911355625838476
102938080569856
11a3303a982413
123b55052a3680
131840a1528243
14a22bd55c90c
155165d746106
hex2ac133faa00

2938080569856 has 160 divisors (see below), whose sum is σ = 8431016951808. Its totient is φ = 906560286720.

The previous prime is 2938080569839. The next prime is 2938080569869. The reversal of 2938080569856 is 6589650808392.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 246216 + ... + 2436551.

Almost surely, 22938080569856 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 2938080569856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215508475904).

2938080569856 is an abundant number, since it is smaller than the sum of its proper divisors (5492936381952).

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

2938080569856 is a wasteful number, since it uses less digits than its factorization.

2938080569856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682842 (or 2682826 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 2938080569856 in words is "two trillion, nine hundred thirty-eight billion, eighty million, five hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 512 552 713 736 744 768 992 1104 1426 1472 1488 1536 1984 2139 2208 2852 2944 2976 3968 4278 4416 5704 5888 5952 7936 8556 8832 11408 11776 11904 15872 17112 17664 22816 23808 34224 35328 45632 47616 68448 91264 136896 182528 273792 365056 547584 1095168 2682767 5365534 8048301 10731068 16096602 21462136 32193204 42924272 61703641 64386408 83165777 85848544 123407282 128772816 166331554 171697088 185110923 246814564 249497331 257545632 332663108 343394176 370221846 493629128 498994662 515091264 665326216 686788352 740443692 987258256 997989324 1030182528 1330652432 1373576704 1480887384 1912812871 1974516512 1995978648 2060365056 2661304864 2961774768 3825625742 3949033024 3991957296 4120730112 5322609728 5738438613 5923549536 7651251484 7898066048 7983914592 10645219456 11476877226 11847099072 15302502968 15796132096 15967829184 21290438912 22953754452 23694198144 30605005936 31592264192 31935658368 42580877824 45907508904 47388396288 61210011872 63871316736 91815017808 94776792576 122420023744 127742633472 183630035616 244840047488 367260071232 489680094976 734520142464 979360189952 1469040284928 2938080569856