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10401163720 = 23517411931933
BaseRepresentation
bin10011010111111010…
…10010100111001000
3222211212121212021221
421223331102213020
5132300144214340
64440033011424
7515515301323
oct115375224710
928755555257
1010401163720
114458205282
1220233b3b74
13c99b4865c
1470954b7ba
1540d20144a
hex26bf529c8

10401163720 has 128 divisors (see below), whose sum is σ = 25528335840. Its totient is φ = 3798466560.

The previous prime is 10401163691. The next prime is 10401163739. The reversal of 10401163720 is 2736110401.

It can be written as a sum of positive squares in 16 ways, for example, as 215913636 + 10185250084 = 14694^2 + 100922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5379874 + ... + 5381806.

Almost surely, 210401163720 is an apocalyptic number.

10401163720 is a gapful number since it is divisible by the number (10) 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 10401163720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764167920).

10401163720 is an abundant number, since it is smaller than the sum of its proper divisors (15127172120).

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

10401163720 is a wasteful number, since it uses less digits than its factorization.

10401163720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 10401163720 in words is "ten billion, four hundred one million, one hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 193 205 328 340 386 410 680 697 772 820 965 1394 1544 1640 1930 1933 2788 3281 3485 3860 3866 5576 6562 6970 7720 7732 7913 9665 13124 13940 15464 15826 16405 19330 26248 27880 31652 32810 32861 38660 39565 63304 65620 65722 77320 79130 79253 131240 131444 134521 158260 158506 164305 262888 269042 316520 317012 328610 373069 396265 538084 634024 657220 672605 746138 792530 1076168 1314440 1345210 1347301 1492276 1585060 1865345 2690420 2694602 2984552 3170120 3730690 5380840 5389204 6342173 6736505 7461380 10778408 12684346 13473010 14922760 15295829 25368692 26946020 30591658 31710865 50737384 53892040 61183316 63421730 76479145 122366632 126843460 152958290 253686920 260029093 305916580 520058186 611833160 1040116372 1300145465 2080232744 2600290930 5200581860 10401163720