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999900972 = 22327127157199
BaseRepresentation
bin111011100110010…
…100011100101100
32120200111020021100
4323212110130230
54021433312342
6243115203100
733531006120
oct7346243454
92520436240
10999900972
11473466444
1223aa46490
1312c2040a5
1496b23580
155cbb1e4c
hex3b99472c

999900972 has 144 divisors (see below), whose sum is σ = 2944614400. Its totient is φ = 280215936.

The previous prime is 999900961. The next prime is 999900991. The reversal of 999900972 is 279009999.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5024529 + ... + 5024727.

Almost surely, 2999900972 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 999900972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472307200).

999900972 is an abundant number, since it is smaller than the sum of its proper divisors (1944713428).

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

999900972 is a wasteful number, since it uses less digits than its factorization.

999900972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 999900972 is about 31621.2107927574. The cubic root of 999900972 is about 999.9669895770.

The spelling of 999900972 in words is "nine hundred ninety-nine million, nine hundred thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 157 199 252 254 314 381 398 471 508 597 628 762 796 889 942 1099 1143 1194 1393 1413 1524 1778 1791 1884 2198 2286 2388 2667 2786 2826 3297 3556 3582 4179 4396 4572 5334 5572 5652 6594 7164 8001 8358 9891 10668 12537 13188 16002 16716 19782 19939 25074 25273 31243 32004 39564 39878 50148 50546 59817 62486 75819 79756 93729 101092 119634 124972 139573 151638 176911 179451 187458 218701 227457 239268 279146 281187 303276 353822 358902 374916 418719 437402 454914 530733 558292 562374 656103 707644 717804 837438 874804 909828 1061466 1124748 1256157 1312206 1592199 1674876 1968309 2122932 2512314 2624412 3184398 3936618 3967861 5024628 6368796 7873236 7935722 11903583 15871444 23807166 27775027 35710749 47614332 55550054 71421498 83325081 111100108 142842996 166650162 249975243 333300324 499950486 999900972