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46900752480 = 2532532569967
BaseRepresentation
bin101011101011100000…
…001011000001100000
311111001121001002021200
4223223200023001200
51232023043034410
633313525521200
73250146550461
oct535340130140
9144047032250
1046900752480
111898828556a
12910ab73200
13456594935a
1423acc90d68
1513477493c0
hexaeb80b060

46900752480 has 72 divisors (see below), whose sum is σ = 160048822752. Its totient is φ = 12506866944.

The previous prime is 46900752463. The next prime is 46900752487. The reversal of 46900752480 is 8425700964.

It is a happy number.

46900752480 is a `hidden beast` number, since 46 + 9 + 0 + 0 + 7 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46900752487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16283544 + ... + 16286423.

It is an arithmetic number, because the mean of its divisors is an integer number (2222900316).

Almost surely, 246900752480 is an apocalyptic number.

46900752480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46900752480 is an abundant number, since it is smaller than the sum of its proper divisors (113148070272).

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

46900752480 is a wasteful number, since it uses less digits than its factorization.

46900752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32569988 (or 32569977 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46900752480 in words is "forty-six billion, nine hundred million, seven hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 32569967 65139934 97709901 130279868 162849835 195419802 260559736 293129703 325699670 390839604 488549505 521119472 586259406 651399340 781679208 977099010 1042238944 1172518812 1302798680 1465648515 1563358416 1954198020 2345037624 2605597360 2931297030 3126716832 3908396040 4690075248 5211194720 5862594060 7816792080 9380150496 11725188120 15633584160 23450376240 46900752480