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70498058400 = 25345271171199
BaseRepresentation
bin100000110101000000…
…0110000000010100000
320201222010112102120000
41001222000300002200
52123340000332100
652215242020000
75044002415650
oct1015200600240
9221863472500
1070498058400
1127997352790
12117b57a7600
13685669ca73
1435aac24360
151c791e3900
hex106a0300a0

70498058400 has 1440 divisors, whose sum is σ = 326679091200. Its totient is φ = 14370048000.

The previous prime is 70498058381. The next prime is 70498058429. The reversal of 70498058400 is 485089407.

70498058400 is a `hidden beast` number, since 70 + 498 + 0 + 58 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 354261501 + ... + 354261699.

It is an arithmetic number, because the mean of its divisors is an integer number (226860480).

Almost surely, 270498058400 is an apocalyptic number.

70498058400 is a gapful number since it is divisible by the number (70) 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 70498058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163339545600).

70498058400 is an abundant number, since it is smaller than the sum of its proper divisors (256181032800).

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

70498058400 is a wasteful number, since it uses less digits than its factorization.

70498058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 70498058400 in words is "seventy billion, four hundred ninety-eight million, fifty-eight thousand, four hundred".