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4245696000 = 293653713
BaseRepresentation
bin1111110100010000…
…0010111000000000
3101221220000201000000
43331010002320000
532143344233000
61541144000000
7210132551310
oct37504027000
911856021000
104245696000
111889648277
129a5a60000
135287b8070
142c3c2d440
1519cb09000
hexfd102e00

4245696000 has 1120 divisors, whose sum is σ = 19536124608. Its totient is φ = 895795200.

The previous prime is 4245695989. The next prime is 4245696029. The reversal of 4245696000 is 6965424.

4245696000 is a `hidden beast` number, since 4 + 2 + 45 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 326591994 + ... + 326592006.

Almost surely, 24245696000 is an apocalyptic number.

4245696000 is a gapful number since it is divisible by the number (40) 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 4245696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768062304).

4245696000 is an abundant number, since it is smaller than the sum of its proper divisors (15290428608).

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

4245696000 is an frugal number, since it uses more digits than its factorization.

4245696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4245696000 is about 65159.0055172729. The cubic root of 4245696000 is about 1619.2589202991.

The spelling of 4245696000 in words is "four billion, two hundred forty-five million, six hundred ninety-six thousand".