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991721664 = 26331274519
BaseRepresentation
bin111011000111000…
…111100011000000
32120010002200101000
4323013013203000
54012340043124
6242224012000
733401331543
oct7307074300
92503080330
10991721664
1146988a18a
12238161000
1312a5cc16b
14959d485a
155c0e86c9
hex3b1c78c0

991721664 has 112 divisors (see below), whose sum is σ = 2939084800. Its totient is φ = 327898368.

The previous prime is 991721641. The next prime is 991721669. The reversal of 991721664 is 466127199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991721669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217197 + ... + 221715.

Almost surely, 2991721664 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 991721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469542400).

991721664 is an abundant number, since it is smaller than the sum of its proper divisors (1947363136).

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

991721664 is a wasteful number, since it uses less digits than its factorization.

991721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4651 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 991721664 is about 31491.6125976426. The cubic root of 991721664 is about 997.2329049138.

The spelling of 991721664 in words is "nine hundred ninety-one million, seven hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4519 4572 6096 6858 8128 9038 9144 12192 13557 13716 18076 18288 24384 27114 27432 36152 36576 40671 54228 54864 72304 73152 81342 108456 109728 122013 144608 162684 216912 219456 244026 289216 325368 433824 488052 573913 650736 867648 976104 1147826 1301472 1721739 1952208 2295652 2602944 3443478 3904416 4591304 5165217 6886956 7808832 9182608 10330434 13773912 15495651 18365216 20660868 27547824 30991302 36730432 41321736 55095648 61982604 82643472 110191296 123965208 165286944 247930416 330573888 495860832 991721664