Search a number
-
+
50005610010 = 2345139601739
BaseRepresentation
bin101110100100100100…
…010000111000011010
311210001222101012010000
4232210210100320122
51304402414010020
634550001433430
73420120446316
oct564444207032
9153058335100
1050005610010
111a230954a24
12983693b876
13493bc85365
1425c5390b46
15147a102090
hexba4910e1a

50005610010 has 160 divisors (see below), whose sum is σ = 135835761600. Its totient is φ = 13198982400.

The previous prime is 50005609999. The next prime is 50005610069. The reversal of 50005610010 is 1001650005.

50005610010 is a `hidden beast` number, since 50 + 0 + 0 + 5 + 610 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×500056100102 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67666221 + ... + 67666959.

It is an arithmetic number, because the mean of its divisors is an integer number (848973510).

Almost surely, 250005610010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50005610010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67917880800).

50005610010 is an abundant number, since it is smaller than the sum of its proper divisors (85830151590).

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

50005610010 is a wasteful number, since it uses less digits than its factorization.

50005610010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

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

The spelling of 50005610010 in words is "fifty billion, five million, six hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 270 278 405 417 601 695 739 810 834 1202 1251 1390 1478 1803 2085 2217 2502 3005 3606 3695 3753 4170 4434 5409 6010 6255 6651 7390 7506 9015 10818 11085 11259 12510 13302 16227 18030 18765 19953 22170 22518 27045 32454 33255 37530 39906 48681 54090 56295 59859 66510 81135 83539 97362 99765 102721 112590 119718 162270 167078 199530 205442 243405 250617 299295 308163 417695 444139 486810 501234 513605 598590 616326 751851 835390 888278 924489 1027210 1253085 1332417 1503702 1540815 1848978 2220695 2255553 2506170 2664834 2773467 3081630 3759255 3997251 4441390 4511106 4622445 5546934 6662085 6766659 7518510 7994502 8320401 9244890 11277765 11991753 13324170 13533318 13867335 16640802 19986255 22555530 23983506 27734670 33833295 35975259 39972510 41602005 59958765 61735321 67666590 71950518 83204010 119917530 123470642 179876295 185205963 308676605 359752590 370411926 555617889 617353210 926029815 1111235778 1666853667 1852059630 2778089445 3333707334 5000561001 5556178890 8334268335 10001122002 16668536670 25002805005 50005610010