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4198925560384 = 2667238232
BaseRepresentation
bin111101000110100011011…
…101110110101001000000
3112212102011100020012100201
4331012203131312221000
51022243344420413014
612532543151054544
7612235201242112
oct75064335665100
915772140205321
104198925560384
111379833016445
12579943811454
13245c59646209
1410732c8573b2
1574354e46e74
hex3d1a3776a40

4198925560384 has 63 divisors (see below), whose sum is σ = 8460673988067. Its totient is φ = 2067586545024.

The previous prime is 4198925560321. The next prime is 4198925560429. The reversal of 4198925560384 is 4830655298914.

The square root of 4198925560384 is 2049128.

It is a perfect power (a square), and thus also a powerful number.

4198925560384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1098330697 + ... + 1098334519.

It is an arithmetic number, because the mean of its divisors is an integer number (134296412509).

Almost surely, 24198925560384 is an apocalyptic number.

4198925560384 is the 2049128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198925560384

4198925560384 is an abundant number, since it is smaller than the sum of its proper divisors (4261748427683).

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

4198925560384 is an frugal number, since it uses more digits than its factorization.

4198925560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

Multiplying 4198925560384 by its sum of digits (64), we get a square (268731235864576 = 163930242).

4198925560384 divided by its sum of digits (64) gives a square (65608211881 = 2561412).

The spelling of 4198925560384 in words is "four trillion, one hundred ninety-eight billion, nine hundred twenty-five million, five hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 3823 4288 4489 7646 8978 15292 17956 30584 35912 61168 71824 122336 143648 244672 256141 287296 512282 1024564 2049128 4098256 8196512 14615329 16393024 17161447 29230658 34322894 58461316 68645788 116922632 137291576 233845264 274583152 467690528 549166304 935381056 979227043 1098332608 1958454086 3916908172 7833816344 15667632688 31335265376 62670530752 65608211881 131216423762 262432847524 524865695048 1049731390096 2099462780192 4198925560384