Search a number
-
+
10232569406752 = 2571121722207639
BaseRepresentation
bin1001010011100111010010…
…1010100010010100100000
31100020020001100121020010221
42110321310222202110200
52320122300232004002
633432435534332424
72104164415602040
oct224716452422440
940206040536127
1010232569406752
113295676738600
12119318295a114
13592c08c606c4
1427538a9b5720
1512b28c87bc37
hex94e74aa2520

10232569406752 has 144 divisors (see below), whose sum is σ = 26795205440640. Its totient is φ = 3752202516480.

The previous prime is 10232569406749. The next prime is 10232569406753. The reversal of 10232569406752 is 25760496523201.

It is a self number, because there is not a number n which added to its sum of digits gives 10232569406752.

It is not an unprimeable number, because it can be changed into a prime (10232569406753) 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, 10643052 + ... + 11564587.

It is an arithmetic number, because the mean of its divisors is an integer number (186077815560).

Almost surely, 210232569406752 is an apocalyptic number.

It is an amenable number.

10232569406752 is an abundant number, since it is smaller than the sum of its proper divisors (16562636033888).

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

10232569406752 is a wasteful number, since it uses less digits than its factorization.

10232569406752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207695 (or 22207676 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 10232569406752 in words is "ten trillion, two hundred thirty-two billion, five hundred sixty-nine million, four hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 121 136 154 176 187 224 238 242 272 308 352 374 476 484 544 616 748 847 952 968 1232 1309 1496 1694 1904 1936 2057 2464 2618 2992 3388 3808 3872 4114 5236 5984 6776 8228 10472 13552 14399 16456 20944 27104 28798 32912 41888 57596 65824 115192 230384 460768 22207639 44415278 88830556 155453473 177661112 244284029 310906946 355322224 377529863 488568058 621813892 710644448 755059726 977136116 1243627784 1510119452 1709988203 1954272232 2487255568 2642709041 2687124319 3020238904 3419976406 3908544464 4152828493 4974511136 5285418082 5374248638 6040477808 6839952812 7817088928 8305656986 10570836164 10748497276 12080955616 13679905624 16611313972 18809870233 21141672328 21496994552 27359811248 29069799451 33222627944 37619740466 42283344656 42993989104 45681113423 54719622496 58139598902 66445255888 75239480932 84566689312 85987978208 91362226846 116279197804 132890511776 150478961864 182724453692 232558395608 300957923728 319767793961 365448907384 465116791216 601915847456 639535587922 730897814768 930233582432 1279071175844 1461795629536 2558142351688 5116284703376 10232569406752