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245605020600 = 2335231127173601
BaseRepresentation
bin1110010010111100110…
…0110011001110111000
3212110221122011202210110
43210233030303032320
513010444341124400
6304455051544320
723513215141512
oct3445714631670
9773848152713
10245605020600
11951846a4175
123b72475b0a0
131a211696174
14bc5cc42bb2
1565c7072e50
hex392f3333b8

245605020600 has 384 divisors, whose sum is σ = 798028922880. Its totient is φ = 62415360000.

The previous prime is 245605020571. The next prime is 245605020623. The reversal of 245605020600 is 6020506542.

It is a super-2 number, since 2×2456050206002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 408660300 + ... + 408660900.

It is an arithmetic number, because the mean of its divisors is an integer number (2078200320).

Almost surely, 2245605020600 is an apocalyptic number.

245605020600 is a gapful number since it is divisible by the number (20) 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 245605020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399014461440).

245605020600 is an abundant number, since it is smaller than the sum of its proper divisors (552423902280).

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

245605020600 is a wasteful number, since it uses less digits than its factorization.

245605020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 245605020600 in words is "two hundred forty-five billion, six hundred five million, twenty thousand, six hundred".