Search a number
-
+
10852649720 = 23511217131899
BaseRepresentation
bin10100001101101111…
…00100101011111000
31001000100011201122122
422012313210223320
5134211234242340
64552521540412
7532640000123
oct120667445370
931010151578
1010852649720
11466a046400
12212a644708
13103c545833
1474d4b53ba
15437b84db5
hex286de4af8

10852649720 has 96 divisors (see below), whose sum is σ = 28419174000. Its totient is φ = 3714247680.

The previous prime is 10852649719. The next prime is 10852649723. The reversal of 10852649720 is 2794625801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852649723) 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, 16331 + ... + 148229.

Almost surely, 210852649720 is an apocalyptic number.

10852649720 is a gapful number since it is divisible by the number (10) 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 10852649720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209587000).

10852649720 is an abundant number, since it is smaller than the sum of its proper divisors (17566524280).

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

10852649720 is a wasteful number, since it uses less digits than its factorization.

10852649720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131949 (or 131934 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 10852649720 in words is "ten billion, eight hundred fifty-two million, six hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 41140 82280 131899 263798 527596 659495 1055192 1318990 1450889 2242283 2637980 2901778 4484566 5275960 5803556 7254445 8969132 11211415 11607112 14508890 15959779 17938264 22422830 24665113 29017780 31919558 44845660 49330226 58035560 63839116 79798895 89691320 98660452 123325565 127678232 159597790 197320904 246651130 271316243 319195580 493302260 542632486 638391160 986604520 1085264972 1356581215 2170529944 2713162430 5426324860 10852649720