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420612375648 = 25312149360637
BaseRepresentation
bin1100001111011100111…
…00111000010001100000
31111012200012101112201010
412013232130320101200
523342403232010043
6521120542540520
742250111126443
oct6075634702140
91435605345633
10420612375648
111524207a22a3
1269626297740
1330881b5581a
141650193365a
15ae1b2c9133
hex61ee738460

420612375648 has 48 divisors (see below), whose sum is σ = 1104201428400. Its totient is φ = 140192196096.

The previous prime is 420612375629. The next prime is 420612375649. The reversal of 420612375648 is 846573216024.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 420612375597 and 420612375606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420612375649) 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, 985986 + ... + 1346622.

It is an arithmetic number, because the mean of its divisors is an integer number (23004196425).

Almost surely, 2420612375648 is an apocalyptic number.

420612375648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420612375648 is an abundant number, since it is smaller than the sum of its proper divisors (683589052752).

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

420612375648 is a wasteful number, since it uses less digits than its factorization.

420612375648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372799 (or 372791 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 420612375648 in words is "four hundred twenty billion, six hundred twelve million, three hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12149 24298 36447 48596 72894 97192 145788 194384 291576 360637 388768 583152 721274 1081911 1166304 1442548 2163822 2885096 4327644 5770192 8655288 11540384 17310576 34621152 4381378913 8762757826 13144136739 17525515652 26288273478 35051031304 52576546956 70102062608 105153093912 140204125216 210306187824 420612375648