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999696672 = 2532131371949
BaseRepresentation
bin111011100101100…
…010100100100000
32120200002212000200
4323211202210200
54021410243142
6243110545200
733526165362
oct7345424440
92520085020
10999696672
114733369a7
1223a968200
1312c1620c0
1496aacd32
155cb7164c
hex3b962920

999696672 has 144 divisors (see below), whose sum is σ = 3085500600. Its totient is φ = 305197056.

The previous prime is 999696667. The next prime is 999696701. The reversal of 999696672 is 276696999.

It can be written as a sum of positive squares in 4 ways, for example, as 862244496 + 137452176 = 29364^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511954 + ... + 513902.

Almost surely, 2999696672 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 999696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542750300).

999696672 is an abundant number, since it is smaller than the sum of its proper divisors (2085803928).

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

999696672 is a wasteful number, since it uses less digits than its factorization.

999696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 999696672 is about 31617.9802011450. The cubic root of 999696672 is about 999.8988804418.

The spelling of 999696672 in words is "nine hundred ninety-nine million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 137 144 156 208 234 274 288 312 411 416 468 548 624 822 936 1096 1233 1248 1644 1781 1872 1949 2192 2466 3288 3562 3744 3898 4384 4932 5343 5847 6576 7124 7796 9864 10686 11694 13152 14248 15592 16029 17541 19728 21372 23388 25337 28496 31184 32058 35082 39456 42744 46776 50674 56992 62368 64116 70164 76011 85488 93552 101348 128232 140328 152022 170976 187104 202696 228033 256464 267013 280656 304044 405392 456066 512928 534026 561312 608088 801039 810784 912132 1068052 1216176 1602078 1824264 2136104 2403117 2432352 3204156 3471169 3648528 4272208 4806234 6408312 6942338 7297056 8544416 9612468 10413507 12816624 13884676 19224936 20827014 25633248 27769352 31240521 38449872 41654028 55538704 62481042 76899744 83308056 111077408 124962084 166616112 249924168 333232224 499848336 999696672