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46655464656 = 2438389131581
BaseRepresentation
bin101011011100111000…
…011110010011010000
311110102111111011122110
4223130320132103100
51231022244332111
633233324305320
73241110622563
oct533470362320
9143374434573
1046655464656
1118871880159
1290609a2240
134526b96728
1423884804da
151330e465a6
hexadce1e4d0

46655464656 has 80 divisors (see below), whose sum is σ = 123350230080. Its totient is φ = 15191700480.

The previous prime is 46655464651. The next prime is 46655464657. The reversal of 46655464656 is 65646455664.

46655464656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46655464596 and 46655464605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46655464651) 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, 288786 + ... + 420366.

It is an arithmetic number, because the mean of its divisors is an integer number (1541877876).

Almost surely, 246655464656 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 46655464656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61675115040).

46655464656 is an abundant number, since it is smaller than the sum of its proper divisors (76694765424).

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

46655464656 is a wasteful number, since it uses less digits than its factorization.

46655464656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131764 (or 131758 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 46655464656 in words is "forty-six billion, six hundred fifty-five million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 89 166 178 249 267 332 356 498 534 664 712 996 1068 1328 1424 1992 2136 3984 4272 7387 14774 22161 29548 44322 59096 88644 118192 131581 177288 263162 354576 394743 526324 789486 1052648 1578972 2105296 3157944 6315888 10921223 11710709 21842446 23421418 32763669 35132127 43684892 46842836 65527338 70264254 87369784 93685672 131054676 140528508 174739568 187371344 262109352 281057016 524218704 562114032 971988847 1943977694 2915966541 3887955388 5831933082 7775910776 11663866164 15551821552 23327732328 46655464656