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8864386632 = 2334411093061
BaseRepresentation
bin10000100000101101…
…11100111001001000
3211212202220111110000
420100112330321020
5121123240333012
64023334323000
7432445020543
oct102026747110
924782814400
108864386632
113839795972
1218747b9460
13ab364a7ba
146013d385a
1536d33eddc
hex2105bce48

8864386632 has 160 divisors (see below), whose sum is σ = 25675788600. Its totient is φ = 2855347200.

The previous prime is 8864386607. The next prime is 8864386633. The reversal of 8864386632 is 2366834688.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8142174756 + 722211876 = 90234^2 + 26874^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8864386633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2894382 + ... + 2897442.

Almost surely, 28864386632 is an apocalyptic number.

8864386632 is a gapful number since it is divisible by the number (82) 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 8864386632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837894300).

8864386632 is an abundant number, since it is smaller than the sum of its proper divisors (16811401968).

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

8864386632 is a wasteful number, since it uses less digits than its factorization.

8864386632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3216 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 8864386632 is about 94150.8716475849. The cubic root of 8864386632 is about 2069.5832305239.

The spelling of 8864386632 in words is "eight billion, eight hundred sixty-four million, three hundred eighty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 109 123 162 164 216 218 246 324 327 328 369 436 492 648 654 738 872 981 984 1107 1308 1476 1962 2214 2616 2943 2952 3061 3321 3924 4428 4469 5886 6122 6642 7848 8829 8856 8938 9183 11772 12244 13284 13407 17658 17876 18366 23544 24488 26568 26814 27549 35316 35752 36732 40221 53628 55098 70632 73464 80442 82647 107256 110196 120663 125501 160884 165294 220392 241326 247941 251002 321768 330588 333649 361989 376503 482652 495882 502004 661176 667298 723978 753006 965304 991764 1000947 1004008 1129509 1334596 1447956 1506012 1983528 2001894 2259018 2669192 2895912 3002841 3012024 3388527 4003788 4518036 6005682 6777054 8007576 9008523 9036072 10165581 12011364 13554108 13679609 18017046 20331162 24022728 27025569 27108216 27359218 36034092 40662324 41038827 54051138 54718436 72068184 81324648 82077654 108102276 109436872 123116481 164155308 216204552 246232962 328310616 369349443 492465924 738698886 984931848 1108048329 1477397772 2216096658 2954795544 4432193316 8864386632