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4096119888 = 243371678111
BaseRepresentation
bin1111010000100101…
…1101010001010000
3101120110120110011000
43310021131101100
531342101314023
61514242022000
7203335305330
oct36411352120
911513513130
104096119888
111812175553
12963947900
135038070a3
142ac0150c0
1518e910243
hexf425d450

4096119888 has 160 divisors (see below), whose sum is σ = 13519134720. Its totient is φ = 1163168640.

The previous prime is 4096119857. The next prime is 4096119917. The reversal of 4096119888 is 8889116904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500953 + ... + 509063.

It is an arithmetic number, because the mean of its divisors is an integer number (84494592).

Almost surely, 24096119888 is an apocalyptic number.

4096119888 is a gapful number since it is divisible by the number (48) 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 4096119888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759567360).

4096119888 is an abundant number, since it is smaller than the sum of its proper divisors (9423014832).

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

4096119888 is a wasteful number, since it uses less digits than its factorization.

4096119888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 4096119888 is about 64000.9366181465. The cubic root of 4096119888 is about 1600.0156102644.

The spelling of 4096119888 in words is "four billion, ninety-six million, one hundred nineteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 167 168 189 216 252 334 336 378 432 501 504 668 756 1002 1008 1169 1336 1503 1512 2004 2338 2672 3006 3024 3507 4008 4509 4676 6012 7014 8016 8111 9018 9352 10521 12024 14028 16222 18036 18704 21042 24048 24333 28056 31563 32444 36072 42084 48666 56112 56777 63126 64888 72144 72999 84168 97332 113554 126252 129776 145998 168336 170331 194664 218997 227108 252504 291996 340662 389328 437994 454216 505008 510993 583992 681324 875988 908432 1021986 1167984 1354537 1362648 1532979 1751976 2043972 2709074 2725296 3065958 3503952 4063611 4087944 5418148 6131916 8127222 8175888 9481759 10836296 12190833 12263832 16254444 18963518 21672592 24381666 24527664 28445277 32508888 36572499 37927036 48763332 56890554 65017776 73144998 75854072 85335831 97526664 113781108 146289996 151708144 170671662 195053328 227562216 256007493 292579992 341343324 455124432 512014986 585159984 682686648 1024029972 1365373296 2048059944 4096119888