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4192419096 = 2332177094831
BaseRepresentation
bin1111100111100011…
…0011110100011000
3101211011202221211100
43321320303310120
532041224402341
61532002031400
7205614655125
oct37170636430
911734687740
104192419096
111861569578
12990048560
1351a753278
142bab2174c
151980d33b6
hexf9e33d18

4192419096 has 96 divisors (see below), whose sum is σ = 12041827200. Its totient is φ = 1313141760.

The previous prime is 4192419071. The next prime is 4192419097. The reversal of 4192419096 is 6909142914.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192419097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865401 + ... + 870231.

It is an arithmetic number, because the mean of its divisors is an integer number (125435700).

Almost surely, 24192419096 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 4192419096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020913600).

4192419096 is an abundant number, since it is smaller than the sum of its proper divisors (7849408104).

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

4192419096 is a wasteful number, since it uses less digits than its factorization.

4192419096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4192419096 is about 64748.8926237353. The cubic root of 4192419096 is about 1612.4573274447.

The spelling of 4192419096 in words is "four billion, one hundred ninety-two million, four hundred nineteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 709 1224 1418 2127 2836 4254 4831 5672 6381 8508 9662 12053 12762 14493 17016 19324 24106 25524 28986 36159 38648 43479 48212 51048 57972 72318 82127 86958 96424 108477 115944 144636 164254 173916 216954 246381 289272 328508 347832 433908 492762 657016 739143 867816 985524 1478286 1971048 2956572 3425179 5913144 6850358 10275537 13700716 20551074 27401432 30826611 41102148 58228043 61653222 82204296 116456086 123306444 174684129 232912172 246612888 349368258 465824344 524052387 698736516 1048104774 1397473032 2096209548 4192419096