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491423432256 = 2632292092
BaseRepresentation
bin1110010011010110001…
…11100111111001000000
31201222110010212221002100
413021223013213321000
531022413344313011
61013431245350400
750334634152561
oct7115307477100
91658403787070
10491423432256
1117a458797189
127b2a8868400
1337458324813
1419adc152168
15cbb2be7d56
hex726b1e7e40

491423432256 has 63 divisors (see below), whose sum is σ = 1408624765041. Its totient is φ = 163802202624.

The previous prime is 491423432251. The next prime is 491423432317. The reversal of 491423432256 is 652234324194.

The square root of 491423432256 is 701016.

It is a perfect power (a square), and thus also a powerful number.

491423432256 is a `hidden beast` number, since 4 + 91 + 4 + 234 + 322 + 5 + 6 = 666.

491423432256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 204470369856 + 286953062400 = 452184^2 + 535680^2 .

It is not an unprimeable number, because it can be changed into a prime (491423432251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16809780 + ... + 16838988.

Almost surely, 2491423432256 is an apocalyptic number.

491423432256 is the 701016-th square number.

It is an amenable number.

491423432256 is an abundant number, since it is smaller than the sum of its proper divisors (917201332785).

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

491423432256 is an frugal number, since it uses more digits than its factorization.

491423432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58436 (or 29214 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 491423432256 in words is "four hundred ninety-one billion, four hundred twenty-three million, four hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 29209 58418 87627 116836 175254 233672 262881 350508 467344 525762 701016 934688 1051524 1402032 1869376 2103048 2804064 4206096 5608128 8412192 16824384 853165681 1706331362 2559497043 3412662724 5118994086 6825325448 7678491129 10237988172 13650650896 15356982258 20475976344 27301301792 30713964516 40951952688 54602603584 61427929032 81903905376 122855858064 163807810752 245711716128 491423432256