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64090658479680 = 263557432738243
BaseRepresentation
bin11101001001010010001001…
…11011101001111001000000
322101221000012012000011100000
432210221010323221321000
531400030132032322210
6344150501514200000
716333253156340120
oct1644510473517100
9271830165004300
1064090658479680
111946a771965348
127231247a23000
13299b952a2ba31
1411b800c1c0c80
15762229b09ac0
hex3a4a44ee9e40

64090658479680 has 672 divisors, whose sum is σ = 267344444150784. Its totient is φ = 14308606900224.

The previous prime is 64090658479577. The next prime is 64090658479759. The reversal of 64090658479680 is 8697485609046.

64090658479680 is a `hidden beast` number, since 6 + 4 + 0 + 90 + 6 + 5 + 8 + 479 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×640906584796802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64090658479599 and 64090658479608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22036639 + ... + 24774881.

It is an arithmetic number, because the mean of its divisors is an integer number (397833994272).

Almost surely, 264090658479680 is an apocalyptic number.

64090658479680 is a gapful number since it is divisible by the number (60) 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 64090658479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133672222075392).

64090658479680 is an abundant number, since it is smaller than the sum of its proper divisors (203253785671104).

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

64090658479680 is a wasteful number, since it uses less digits than its factorization.

64090658479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738325 (or 2738303 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 64090658479680 in words is "sixty-four trillion, ninety billion, six hundred fifty-eight million, four hundred seventy-nine thousand, six hundred eighty".