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990061776 = 2432111736767
BaseRepresentation
bin111011000000110…
…010010011010000
32112222222100102200
4323000302103100
54011423434101
6242124243200
733351246324
oct7300622320
92488870380
10990061776
11468956080
122376a0500
1312a16a792
14956c1984
155bdbb986
hex3b0324d0

990061776 has 120 divisors (see below), whose sum is σ = 3200580864. Its totient is φ = 282362880.

The previous prime is 990061757. The next prime is 990061811. The reversal of 990061776 is 677160099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8545 + ... + 45311.

Almost surely, 2990061776 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 990061776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600290432).

990061776 is an abundant number, since it is smaller than the sum of its proper divisors (2210519088).

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

990061776 is a wasteful number, since it uses less digits than its factorization.

990061776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36809 (or 36800 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 990061776 is about 31465.2471148726. The cubic root of 990061776 is about 996.6762234157.

The spelling of 990061776 in words is "nine hundred ninety million, sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 36767 73534 110301 147068 220602 294136 330903 404437 441204 588272 625039 661806 808874 882408 1213311 1250078 1323612 1617748 1764816 1875117 2426622 2500156 2647224 3235496 3639933 3750234 4853244 5000312 5294448 5625351 6470992 6875429 7279866 7500468 9706488 10000624 11250702 13750858 14559732 15000936 19412976 20626287 22501404 27501716 29119464 30001872 41252574 45002808 55003432 58238928 61878861 82505148 90005616 110006864 123757722 165010296 247515444 330020592 495030888 990061776