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999928001296 = 24727125032
BaseRepresentation
bin11101000110100000101…
…10100111001100010000
310112120222200221111211101
432203100112213030100
5112340323032020141
62043205515154144
7132146101526200
oct16432026471420
93476880844741
10999928001296
1135608131a234
12141961a45954
13733a63aa363
143657aa64400
151b025293531
hexe8d05a7310

999928001296 has 135 divisors (see below), whose sum is σ = 2290406549223. Its totient is φ = 421664819520.

The previous prime is 999928001273. The next prime is 999928001321. The reversal of 999928001296 is 692100829999.

The square root of 999928001296 is 999964.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1987928181 + ... + 1987928683.

Almost surely, 2999928001296 is an apocalyptic number.

999928001296 is the 999964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999928001296

999928001296 is an abundant number, since it is smaller than the sum of its proper divisors (1290478547927).

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

999928001296 is an frugal number, since it uses more digits than its factorization.

999928001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 64.

Multiplying 999928001296 by its sum of digits (64), we get a square (63995392082944 = 79997122).

The spelling of 999928001296 in words is "nine hundred ninety-nine billion, nine hundred twenty-eight million, one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 497 503 568 784 994 1006 1136 1988 2012 3479 3521 3976 4024 5041 6958 7042 7952 8048 10082 13916 14084 20164 24647 27832 28168 35287 35713 40328 49294 55664 56336 70574 71426 80656 98588 141148 142852 197176 247009 249991 253009 282296 285704 394352 494018 499982 506018 564592 571408 988036 999964 1012036 1749937 1771063 1976072 1999928 2024072 2535623 3499874 3542126 3952144 3999856 4048144 5071246 6999748 7084252 10142492 12397441 13999496 14168504 17749361 17963639 20284984 24794882 27998992 28337008 35498722 35927278 40569968 49589764 70997444 71854556 99179528 124245527 125745473 141994888 143709112 198359056 248491054 251490946 283989776 287418224 496982108 502981892 880218311 993964216 1005963784 1275418369 1760436622 1987928432 2011927568 2550836738 3520873244 5101673476 7041746488 8927928583 10203346952 14083492976 17855857166 20406693904 35711714332 62495500081 71423428664 124991000162 142846857328 249982000324 499964000648 999928001296