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661908672 = 26374729
BaseRepresentation
bin100111011100111…
…110110011000000
31201010111110000000
4213130332303000
52323422034142
6145403000000
722255062615
oct4734766300
91633443000
10661908672
1130a6a2867
12165809000
13a7193549
1463ca050c
153d19b14c
hex2773ecc0

661908672 has 112 divisors (see below), whose sum is σ = 1970328800. Its totient is φ = 220589568.

The previous prime is 661908641. The next prime is 661908677. The reversal of 661908672 is 276809166.

It is not an unprimeable number, because it can be changed into a prime (661908677) 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, 137604 + ... + 142332.

Almost surely, 2661908672 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 661908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985164400).

661908672 is an abundant number, since it is smaller than the sum of its proper divisors (1308420128).

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

661908672 is an frugal number, since it uses more digits than its factorization.

661908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 661908672 is about 25727.5858175617. The cubic root of 661908672 is about 871.4972553022.

The spelling of 661908672 in words is "six hundred sixty-one million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 4729 5184 5832 7776 8748 9458 11664 14187 15552 17496 18916 23328 28374 34992 37832 42561 46656 56748 69984 75664 85122 113496 127683 139968 151328 170244 226992 255366 302656 340488 383049 453984 510732 680976 766098 907968 1021464 1149147 1361952 1532196 2042928 2298294 2723904 3064392 3447441 4085856 4596588 6128784 6894882 8171712 9193176 10342323 12257568 13789764 18386352 20684646 24515136 27579528 36772704 41369292 55159056 73545408 82738584 110318112 165477168 220636224 330954336 661908672