Search a number
-
+
10001005000056 = 23327171167250817
BaseRepresentation
bin1001000110001000101001…
…0110011011010101111000
31022102002100020022112201200
42101202022112123111320
52302324024240000211
633134222005414200
72051356140611520
oct221421226332570
938362306275650
1010001005000056
113206447662484
12115631840a360
13577124426505
142680a07bc680
151252382b0b56
hex9188a59b578

10001005000056 has 96 divisors (see below), whose sum is σ = 32776402969440. Its totient is φ = 2689345880064.

The previous prime is 10001005000037. The next prime is 10001005000087. The reversal of 10001005000056 is 65000050010001.

10001005000056 is a `hidden beast` number, since 10 + 0 + 0 + 100 + 500 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×100010050000562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583616841 + ... + 583633976.

It is an arithmetic number, because the mean of its divisors is an integer number (341420864265).

Almost surely, 210001005000056 is an apocalyptic number.

It is an amenable number.

10001005000056 is an abundant number, since it is smaller than the sum of its proper divisors (22775397969384).

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

10001005000056 is a wasteful number, since it uses less digits than its factorization.

10001005000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167250853 (or 1167250846 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10001005000056 its reverse (65000050010001), we get a palindrome (75001055010057).

The spelling of 10001005000056 in words is "ten trillion, one billion, five million, fifty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 1167250817 2334501634 3501752451 4669003268 7003504902 8170755719 9338006536 10505257353 14007009804 16341511438 19843263889 21010514706 24512267157 28014019608 32683022876 39686527778 42021029412 49024534314 59529791667 65366045752 73536801471 79373055556 84042058824 98049068628 119059583334 138902847223 147073602942 158746111112 178589375001 196098137256 238119166668 277805694446 294147205884 357178750002 416708541669 476238333336 555611388892 588294411768 714357500004 833417083338 1111222777784 1250125625007 1428715000008 1666834166676 2500251250014 3333668333352 5000502500028 10001005000056