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5088144576 = 263311814723
BaseRepresentation
bin1001011110100011…
…01110110011000000
3111010121020112012010
410233101232303000
540410031111301
62200520332520
7240042341514
oct45721566300
914117215163
105088144576
112181141369
12ba0014140
136311b1148
14363a88144
151eba685d6
hex12f46ecc0

5088144576 has 112 divisors (see below), whose sum is σ = 13976388608. Its totient is φ = 1631923200.

The previous prime is 5088144563. The next prime is 5088144583. The reversal of 5088144576 is 6754418805.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074951 + ... + 1079673.

It is an arithmetic number, because the mean of its divisors is an integer number (124789184).

Almost surely, 25088144576 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 5088144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988194304).

5088144576 is an abundant number, since it is smaller than the sum of its proper divisors (8888244032).

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

5088144576 is a wasteful number, since it uses less digits than its factorization.

5088144576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 5088144576 is about 71331.2314207458. The cubic root of 5088144576 is about 1719.9658114711.

The spelling of 5088144576 in words is "five billion, eighty-eight million, one hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 181 186 192 248 362 372 496 543 724 744 992 1086 1448 1488 1984 2172 2896 2976 4344 4723 5611 5792 5952 8688 9446 11222 11584 14169 16833 17376 18892 22444 28338 33666 34752 37784 44888 56676 67332 75568 89776 113352 134664 146413 151136 179552 226704 269328 292826 302272 359104 439239 453408 538656 585652 854863 878478 906816 1077312 1171304 1709726 1756956 2342608 2564589 3419452 3513912 4685216 5129178 6838904 7027824 9370432 10258356 13677808 14055648 20516712 26500753 27355616 28111296 41033424 53001506 54711232 79502259 82066848 106003012 159004518 164133696 212006024 318009036 424012048 636018072 848024096 1272036144 1696048192 2544072288 5088144576