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463218974680 = 235711676433491
BaseRepresentation
bin1101011110110100000…
…00001001111111011000
31122021122112020000212111
412233122000021333120
530042133024142210
6552444434122104
745315666214360
oct6573200117730
91567575200774
10463218974680
111694a5042810
1275937120334
13348b1c4b877
14185c437d9a0
15c0b1a4688a
hex6bda009fd8

463218974680 has 256 divisors, whose sum is σ = 1321243176960. Its totient is φ = 141963148800.

The previous prime is 463218974657. The next prime is 463218974689. The reversal of 463218974680 is 86479812364.

It is a happy number.

It is a super-2 number, since 2×4632189746802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463218974689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132687735 + ... + 132691225.

It is an arithmetic number, because the mean of its divisors is an integer number (5161106160).

Almost surely, 2463218974680 is an apocalyptic number.

463218974680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463218974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660621588480).

463218974680 is an abundant number, since it is smaller than the sum of its proper divisors (858024202280).

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

463218974680 is a wasteful number, since it uses less digits than its factorization.

463218974680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 463218974680 in words is "four hundred sixty-three billion, two hundred eighteen million, nine hundred seventy-four thousand, six hundred eighty".