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999990000024 = 2332316749921739
BaseRepresentation
bin11101000110101000000…
…11000111100110011000
310112121011000121101002120
432203110003013212120
5112340434420000044
62043220012101240
7132150453516411
oct16432403074630
93477130541076
10999990000024
11356103315854
1214197a764820
13733b61a6cb2
1436584da2808
151b02a93d519
hexe8d40c7998

999990000024 has 128 divisors (see below), whose sum is σ = 2629670400000. Its totient is φ = 316278509184.

The previous prime is 999990000017. The next prime is 999990000067. The reversal of 999990000024 is 420000099999.

It is a Cunningham number, because it is equal to 9999952-1.

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, 45988947 + ... + 46010685.

It is an arithmetic number, because the mean of its divisors is an integer number (20544300000).

Almost surely, 2999990000024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999990000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314835200000).

999990000024 is an abundant number, since it is smaller than the sum of its proper divisors (1629680399976).

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

999990000024 is a wasteful number, since it uses less digits than its factorization.

999990000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22437 (or 22433 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 51.

The spelling of 999990000024 in words is "nine hundred ninety-nine billion, nine hundred ninety million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 167 184 276 334 499 501 552 668 998 1002 1336 1497 1996 2004 2994 3841 3992 4008 5988 7682 11477 11523 11976 15364 21739 22954 23046 30728 34431 43478 45908 46092 65217 68862 83333 86956 91816 92184 130434 137724 166666 173912 249999 260868 275448 333332 499997 499998 521736 666664 999994 999996 1499991 1916659 1999988 1999992 2999982 3630413 3833318 3999976 5749977 5999964 7260826 7666636 10847761 10891239 11499954 11999928 14521652 15333272 21695522 21782478 22999908 29043304 32543283 43391044 43564956 45999816 65086566 83499499 86782088 87129912 130173132 166998998 249498503 250498497 260346264 333997996 498997006 500996994 667995992 748495509 997994012 1001993988 1496991018 1811576087 1995988024 2003987976 2993982036 3623152174 5434728261 5987964072 7246304348 10869456522 14492608696 21738913044 41666250001 43477826088 83332500002 124998750003 166665000004 249997500006 333330000008 499995000012 999990000024