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961211412 = 223279739323
BaseRepresentation
bin111001010010101…
…110110000010100
32110222200121011200
4321102232300110
53432032231122
6235214032500
732551106430
oct7122566024
92428617150
10961211412
114536403a7
12229aa8730
131241a8b65
14919319c0
15595bd5ac
hex394aec14

961211412 has 72 divisors (see below), whose sum is σ = 2805531456. Its totient is φ = 271793664.

The previous prime is 961211411. The next prime is 961211417. The reversal of 961211412 is 214112169.

961211412 is a `hidden beast` number, since 9 + 612 + 1 + 1 + 41 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961211411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4783 + ... + 44105.

Almost surely, 2961211412 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 961211412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402765728).

961211412 is an abundant number, since it is smaller than the sum of its proper divisors (1844320044).

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

961211412 is a wasteful number, since it uses less digits than its factorization.

961211412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39437 (or 39432 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 961211412 is about 31003.4096834526. The cubic root of 961211412 is about 986.8995996086.

The spelling of 961211412 in words is "nine hundred sixty-one million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 39323 78646 117969 157292 235938 275261 353907 471876 550522 707814 825783 1101044 1415628 1651566 2477349 3303132 3814331 4954698 7628662 9909396 11442993 15257324 22885986 26700317 34328979 45771972 53400634 68657958 80100951 106801268 137315916 160201902 240302853 320403804 480605706 961211412