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5000746752 = 283212791697
BaseRepresentation
bin1001010100001000…
…10101011100000000
3110220111210020220200
410222010111130000
540220142344002
62144115205200
7234631434411
oct45204253400
913814706820
105000746752
112136878061
12b768a6800
13619060761
14356217808
151e4052b1c
hex12a115700

5000746752 has 108 divisors (see below), whose sum is σ = 14438161920. Its totient is φ = 1664630784.

The previous prime is 5000746739. The next prime is 5000746769. The reversal of 5000746752 is 2576470005.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2945968 + ... + 2947664.

Almost surely, 25000746752 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 5000746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219080960).

5000746752 is an abundant number, since it is smaller than the sum of its proper divisors (9437415168).

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

5000746752 is a wasteful number, since it uses less digits than its factorization.

5000746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5000746752 is about 70715.9582555451. The cubic root of 5000746752 is about 1710.0610709696.

The spelling of 5000746752 in words is "five billion, seven hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1279 1697 2304 2558 3394 3837 5091 5116 6788 7674 10182 10232 11511 13576 15273 15348 20364 20464 23022 27152 30546 30696 40728 40928 46044 54304 61092 61392 81456 81856 92088 108608 122184 122784 162912 163712 184176 217216 244368 245568 325824 327424 368352 434432 488736 491136 651648 736704 977472 982272 1303296 1473408 1954944 2170463 2946816 3909888 4340926 6511389 8681852 13022778 17363704 19534167 26045556 34727408 39068334 52091112 69454816 78136668 104182224 138909632 156273336 208364448 277819264 312546672 416728896 555638528 625093344 833457792 1250186688 1666915584 2500373376 5000746752