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46605901456 = 2431217412
BaseRepresentation
bin101011011001111011…
…011001111010010000
311110022001020002201101
4223121323121322100
51230422102321311
633224354114144
73236636424502
oct533173317220
9143261202641
1046605901456
11188468a8634
12904827b954
1345198320aa
142381a5bd72
15132b905ec1
hexad9ed9e90

46605901456 has 45 divisors (see below), whose sum is σ = 93359390409. Its totient is φ = 22538289600.

The previous prime is 46605901453. The next prime is 46605901471. The reversal of 46605901456 is 65410950664.

The square root of 46605901456 is 215884.

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

It can be written as a sum of positive squares in only one way, i.e., 53523856 + 46552377600 = 7316^2 + 215760^2 .

It is a super-2 number, since 2×466059014562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46605901453) 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, 26768746 + ... + 26770486.

Almost surely, 246605901456 is an apocalyptic number.

46605901456 is the 215884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46605901456

46605901456 is an abundant number, since it is smaller than the sum of its proper divisors (46753488953).

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

46605901456 is an frugal number, since it uses more digits than its factorization.

46605901456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 46605901456 in words is "forty-six billion, six hundred five million, nine hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1741 1922 3482 3844 6964 7688 13928 15376 27856 53971 107942 215884 431768 863536 1673101 3031081 3346202 6062162 6692404 12124324 13384808 24248648 26769616 48497296 93963511 187927022 375854044 751708088 1503416176 2912868841 5825737682 11651475364 23302950728 46605901456