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466341226656 = 25331156700681
BaseRepresentation
bin1101100100101000001…
…10100110100010100000
31122120201010021212101120
412302110012212202200
530120031323223111
6554122330532240
745456241010664
oct6622406464240
91576633255346
10466341226656
1116a857512948
1276468897080
1334c8ba68046
14187dccca8a4
15c1e5bd8406
hex6c941a68a0

466341226656 has 48 divisors (see below), whose sum is σ = 1263634299648. Its totient is φ = 150432652800.

The previous prime is 466341226651. The next prime is 466341226667. The reversal of 466341226656 is 656622143664.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466341226599 and 466341226608.

It is not an unprimeable number, because it can be changed into a prime (466341226651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78347365 + ... + 78353316.

It is an arithmetic number, because the mean of its divisors is an integer number (26325714576).

Almost surely, 2466341226656 is an apocalyptic number.

It is an amenable number.

466341226656 is an abundant number, since it is smaller than the sum of its proper divisors (797293072992).

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

466341226656 is a wasteful number, since it uses less digits than its factorization.

466341226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156700725 (or 156700717 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The spelling of 466341226656 in words is "four hundred sixty-six billion, three hundred forty-one million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 156700681 313401362 470102043 626802724 940204086 1253605448 1880408172 2507210896 3760816344 4857721111 5014421792 7521632688 9715442222 14573163333 15043265376 19430884444 29146326666 38861768888 58292653332 77723537776 116585306664 155447075552 233170613328 466341226656