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4648861672 = 2372131396563
BaseRepresentation
bin1000101010001011…
…11111111111101000
3102222222122122022221
410111011333333220
534010102033142
62045145123424
7223126446400
oct42505777750
912888578287
104648861672
111a76185644
12a98a89574
13591197530
143215b9800
151c31e5767
hex11517ffe8

4648861672 has 96 divisors (see below), whose sum is σ = 10999951200. Its totient is φ = 1825600896.

The previous prime is 4648861669. The next prime is 4648861687. The reversal of 4648861672 is 2761688464.

It is a super-2 number, since 2×46488616722 = 43223829690781271168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705063 + ... + 711625.

It is an arithmetic number, because the mean of its divisors is an integer number (114582825).

Almost surely, 24648861672 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 4648861672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499975600).

4648861672 is an abundant number, since it is smaller than the sum of its proper divisors (6351089528).

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

4648861672 is a wasteful number, since it uses less digits than its factorization.

4648861672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6724 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 4648861672 is about 68182.5613481923. The cubic root of 4648861672 is about 1668.9713234165.

The spelling of 4648861672 in words is "four billion, six hundred forty-eight million, eight hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 139 182 196 278 364 392 556 637 728 973 1112 1274 1807 1946 2548 3614 3892 5096 6563 6811 7228 7784 12649 13126 13622 14456 25298 26252 27244 45941 50596 52504 54488 85319 88543 91882 101192 170638 177086 183764 321587 341276 354172 367528 597233 643174 682552 708344 912257 1194466 1286348 1824514 2388932 2572696 3649028 4180631 4777864 6385799 7298056 8361262 11859341 12771598 16722524 23718682 25543196 33445048 44700593 47437364 51086392 83015387 89401186 94874728 166030774 178802372 332061548 357604744 581107709 664123096 1162215418 2324430836 4648861672