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46995302656 = 281727972
BaseRepresentation
bin101011110001001000…
…110110100100000000
311111022011221201202001
4223301020312210000
51232221244141111
633331144233344
73252405324121
oct536110664400
9144264851661
1046995302656
1118a26694505
12913676b854
13457c4023c3
1423bb664048
151350bc41c1
hexaf1236900

46995302656 has 81 divisors (see below), whose sum is σ = 99774870139. Its totient is φ = 22087688192.

The previous prime is 46995302623. The next prime is 46995302663. The reversal of 46995302656 is 65620359964.

The square root of 46995302656 is 216784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3598080256 + 43397222400 = 59984^2 + 208320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46995302597 and 46995302606.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58964850 + ... + 58965646.

Almost surely, 246995302656 is an apocalyptic number.

46995302656 is the 216784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46995302656

46995302656 is an abundant number, since it is smaller than the sum of its proper divisors (52779567483).

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

46995302656 is an frugal number, since it uses more digits than its factorization.

46995302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 55.

The spelling of 46995302656 in words is "forty-six billion, nine hundred ninety-five million, three hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 797 1088 1156 1594 2176 2312 3188 4352 4624 6376 9248 12752 13549 18496 25504 27098 36992 51008 54196 73984 102016 108392 204032 216784 230333 433568 460666 635209 867136 921332 1270418 1734272 1842664 2540836 3468544 3685328 5081672 7370656 10163344 10798553 14741312 20326688 21597106 29482624 40653376 43194212 58965248 81306752 86388424 162613504 172776848 183575401 345553696 367150802 691107392 734301604 1382214784 1468603208 2764429568 2937206416 5874412832 11748825664 23497651328 46995302656