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999992000016 = 243216724992
BaseRepresentation
bin11101000110101000010…
…10101111111000010000
310112121011011100222120100
432203110022233320100
5112340440423000031
62043220123012400
7132150506516322
oct16432412577020
93477134328510
10999992000016
11356104461439
1214197b36a100
13733b6727419
1436585363612
151b02abd5de6
hexe8d42afe10

999992000016 has 135 divisors (see below), whose sum is σ = 2821100571471. Its totient is φ = 330670677312.

The previous prime is 999991999997. The next prime is 999992000039. The reversal of 999992000016 is 610000299999.

It is a happy number.

The square root of 999992000016 is 999996.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2003991735 + ... + 2003992233.

Almost surely, 2999992000016 is an apocalyptic number.

999992000016 is the 999996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999992000016

999992000016 is an abundant number, since it is smaller than the sum of its proper divisors (1821108571455).

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

999992000016 is an equidigital number, since it uses as much as digits as its factorization.

999992000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 999992000016 in words is "nine hundred ninety-nine billion, nine hundred ninety-two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 499 501 668 998 1002 1336 1497 1503 1996 2004 2672 2994 3006 3992 4008 4491 5988 6012 7984 8016 8982 11976 12024 17964 23952 24048 27889 35928 55778 71856 83333 83667 111556 166666 167334 223112 249001 249999 251001 333332 334668 446224 498002 499998 502002 666664 669336 747003 749997 996004 999996 1004004 1333328 1338672 1494006 1499994 1992008 1999992 2008008 2241009 2988012 2999988 3984016 3999984 4016016 4482018 5976024 5999976 8964036 11952048 11999952 13916611 17928072 27833222 35856144 41583167 41749833 55666444 83166334 83499666 111332888 124749501 125249499 166332668 166999332 222665776 249499002 250498998 332665336 333998664 374248503 498998004 500997996 665330672 667997328 748497006 997996008 1001995992 1496994012 1995992016 2003991984 2993988024 5987976048 6944388889 13888777778 20833166667 27777555556 41666333334 55555111112 62499500001 83332666668 111110222224 124999000002 166665333336 249998000004 333330666672 499996000008 999992000016