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10457474931270 = 2325972287523777
BaseRepresentation
bin1001100000101101001000…
…0101000001101001000110
31101000201120102000122110100
42120023102011001221012
52332313402040300040
634124033032304530
72126345656164513
oct230132205015106
941021512018410
1010457474931270
113371a98a77a14
12120a88b242146
135ab19c058023
1428220468a30a
15132052560b30
hex982d2141a46

10457474931270 has 96 divisors (see below), whose sum is σ = 27481801995648. Its totient is φ = 2758698860544.

The previous prime is 10457474931269. The next prime is 10457474931271. The reversal of 10457474931270 is 7213947475401.

10457474931270 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 474 + 93 + 12 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (10457474931269) and next prime (10457474931271).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457474931271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19703622 + ... + 20227398.

It is an arithmetic number, because the mean of its divisors is an integer number (286268770788).

Almost surely, 210457474931270 is an apocalyptic number.

10457474931270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457474931270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740900997824).

10457474931270 is an abundant number, since it is smaller than the sum of its proper divisors (17024327064378).

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

10457474931270 is a wasteful number, since it uses less digits than its factorization.

10457474931270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526174 (or 526171 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 10457474931270 in words is "ten trillion, four hundred fifty-seven billion, four hundred seventy-four million, nine hundred thirty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2287 2910 4365 4574 6861 8730 11435 13722 20583 22870 34305 41166 68610 102915 205830 221839 443678 523777 665517 1047554 1109195 1331034 1571331 1996551 2218390 2618885 3142662 3327585 3993102 4713993 5237770 6655170 7856655 9427986 9982755 15713310 19965510 23569965 47139930 50806369 101612738 152419107 254031845 304838214 457257321 508063690 762095535 914514642 1197877999 1524191070 2286286605 2395755998 3593633997 4572573210 5989389995 7187267994 10780901991 11978779990 17968169985 21561803982 35936339970 53904509955 107809019910 116194165903 232388331806 348582497709 580970829515 697164995418 1045747493127 1161941659030 1742912488545 2091494986254 3485824977090 5228737465635 10457474931270