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1056173659840 = 265131913362521
BaseRepresentation
bin11110101111010001101…
…10110001011011000000
310201222011120002000022001
433113220312301123000
5114301020424103330
62125111030553344
7136206652661035
oct17275066613300
93658146060261
101056173659840
11377a14550a62
1215083a508854
137879b098410
1439194a6d38c
151c7180e89ca
hexf5e8db16c0

1056173659840 has 112 divisors (see below), whose sum is σ = 2851027693920. Its totient is φ = 369446952960.

The previous prime is 1056173659837. The next prime is 1056173659843. The reversal of 1056173659840 is 489563716501.

It is an interprime number because it is at equal distance from previous prime (1056173659837) and next prime (1056173659843).

It is a super-2 number, since 2×10561736598402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056173659843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6602221 + ... + 6760300.

It is an arithmetic number, because the mean of its divisors is an integer number (25455604410).

Almost surely, 21056173659840 is an apocalyptic number.

1056173659840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056173659840 is an abundant number, since it is smaller than the sum of its proper divisors (1794854034080).

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

1056173659840 is a wasteful number, since it uses less digits than its factorization.

1056173659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362570 (or 13362560 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 1056173659840 in words is "one trillion, fifty-six billion, one hundred seventy-three million, six hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 832 988 1040 1216 1235 1520 1976 2080 2470 3040 3952 4160 4940 6080 7904 9880 15808 19760 39520 79040 13362521 26725042 53450084 66812605 106900168 133625210 173712773 213800336 253887899 267250420 347425546 427600672 507775798 534500840 694851092 855201344 868563865 1015551596 1069001680 1269439495 1389702184 1737127730 2031103192 2138003360 2538878990 2779404368 3300542687 3474255460 4062206384 4276006720 5077757980 5558808736 6601085374 6948510920 8124412768 10155515960 11117617472 13202170748 13897021840 16248825536 16502713435 20311031920 26404341496 27794043680 33005426870 40622063840 52808682992 55588087360 66010853740 81244127680 105617365984 132021707480 211234731968 264043414960 528086829920 1056173659840