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4195913904 = 24327213149307
BaseRepresentation
bin1111101000011000…
…1001000010110000
3101211102100111210200
43322012021002300
532043123221104
61532204555200
7205656452100
oct37206110260
911742314720
104195913904
111863536246
12991252b00
1351b3a7bc0
142bb391200
15198573b39
hexfa1890b0

4195913904 has 360 divisors, whose sum is σ = 14857642800. Its totient is φ = 1095607296.

The previous prime is 4195913903. The next prime is 4195913921. The reversal of 4195913904 is 4093195914.

It is a self number, because there is not a number n which added to its sum of digits gives 4195913904.

It is not an unprimeable number, because it can be changed into a prime (4195913903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13667319 + ... + 13667625.

It is an arithmetic number, because the mean of its divisors is an integer number (41271230).

Almost surely, 24195913904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4195913904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428821400).

4195913904 is an abundant number, since it is smaller than the sum of its proper divisors (10661728896).

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

4195913904 is a wasteful number, since it uses less digits than its factorization.

4195913904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4195913904 is about 64775.8743978034. The cubic root of 4195913904 is about 1612.9052521010.

The spelling of 4195913904 in words is "four billion, one hundred ninety-five million, nine hundred thirteen thousand, nine hundred four".