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2631345123160 = 2351318134980107
BaseRepresentation
bin100110010010101000011…
…001000010111101011000
3100022112221222002010220201
4212102220121002331120
5321102443322420120
65332453454031544
7361052120335555
oct46225031027530
910275858063821
102631345123160
11924a467a5346
12365b801a85b4
1316119a160320
1491501a87a2c
15486a9ac940a
hex264a8642f58

2631345123160 has 128 divisors (see below), whose sum is σ = 6429628296000. Its totient is φ = 963425249280.

The previous prime is 2631345123139. The next prime is 2631345123163. The reversal of 2631345123160 is 613215431362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631345123163) 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, 32807827 + ... + 32887933.

Almost surely, 22631345123160 is an apocalyptic number.

2631345123160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631345123160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214814148000).

2631345123160 is an abundant number, since it is smaller than the sum of its proper divisors (3798283172840).

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

2631345123160 is a wasteful number, since it uses less digits than its factorization.

2631345123160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80661 (or 80657 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 2631345123160 in words is "two trillion, six hundred thirty-one billion, three hundred forty-five million, one hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 349 362 520 698 724 905 1396 1448 1745 1810 2353 2792 3490 3620 4537 4706 6980 7240 9074 9412 11765 13960 18148 18824 22685 23530 36296 45370 47060 63169 80107 90740 94120 126338 160214 181480 252676 315845 320428 400535 505352 631690 640856 801070 821197 1041391 1263380 1602140 1642394 2082782 2526760 3204280 3284788 4105985 4165564 5206955 6569576 8211970 8331128 10413910 14499367 16423940 20827820 27957343 28998734 32847880 41655640 55914686 57997468 72496835 111829372 115994936 139786715 144993670 188491771 223658744 279573430 289987340 363445459 376983542 559146860 579974680 726890918 753967084 942458855 1118293720 1453781836 1507934168 1817227295 1884917710 2907563672 3634454590 3769835420 5060279083 7268909180 7539670840 10120558166 14537818360 20241116332 25301395415 40482232664 50602790830 65783628079 101205581660 131567256158 202411163320 263134512316 328918140395 526269024632 657836280790 1315672561580 2631345123160