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1000056060024 = 233731320359951
BaseRepresentation
bin11101000110101111111…
…11000111100001111000
310112121022121220120101020
432203113333013201320
5112341103322410044
62043230332022440
7132152215153230
oct16432777074170
93477277816336
101000056060024
1135613763569a
12141998901a20
13733c6a96358
143658da7acc0
151b03163ba19
hexe8d7fc7878

1000056060024 has 128 divisors (see below), whose sum is σ = 2950444154880. Its totient is φ = 276422256000.

The previous prime is 1000056060013. The next prime is 1000056060079. The reversal of 1000056060024 is 4200606500001.

It is a super-2 number, since 2×10000560600242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000056059976 and 1000056060003.

It is a congruent number.

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, 16651249 + ... + 16711199.

It is an arithmetic number, because the mean of its divisors is an integer number (23050344960).

Almost surely, 21000056060024 is an apocalyptic number.

1000056060024 is a gapful number since it is divisible by the number (14) 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 1000056060024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475222077440).

1000056060024 is an abundant number, since it is smaller than the sum of its proper divisors (1950388094856).

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

1000056060024 is a wasteful number, since it uses less digits than its factorization.

1000056060024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63201 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 1000056060024 in words is "one trillion, fifty-six million, sixty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 3203 5208 6406 9609 12812 19218 22421 25624 38436 44842 59951 67263 76872 89684 99293 119902 134526 179368 179853 198586 239804 269052 297879 359706 397172 419657 479608 538104 595758 695051 719412 794344 839314 1191516 1258971 1390102 1438824 1678628 1858481 2085153 2383032 2517942 2780204 3357256 3716962 4170306 5035884 5560408 5575443 7433924 8340612 10071768 11150886 13009367 14867848 16681224 22301772 26018734 39028101 44603544 52037468 78056202 104074936 156112404 192023053 312224808 384046106 576069159 768092212 1152138318 1344161371 1536184424 2304276636 2688322742 4032484113 4608553272 5376645484 5952714643 8064968226 10753290968 11905429286 16129936452 17858143929 23810858572 32259872904 35716287858 41669002501 47621717144 71432575716 83338005002 125007007503 142865151432 166676010004 250014015006 333352020008 500028030012 1000056060024