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76348054368 = 2532972732963
BaseRepresentation
bin100011100011010110…
…0101101101101100000
321022001211100000101100
41013012230231231200
52222330100214433
655023535434400
75341655516535
oct1070654555540
9238054300340
1076348054368
112a4195392a3
1212968985a00
137279667b41
1439a3b46d8c
151ebca9ab13
hex11c6b2db60

76348054368 has 72 divisors (see below), whose sum is σ = 219353156568. Its totient is φ = 25186977792.

The previous prime is 76348054361. The next prime is 76348054381. The reversal of 76348054368 is 86345084367.

76348054368 is a `hidden beast` number, since 7 + 6 + 34 + 8 + 0 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76348054361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338546 + ... + 1394417.

It is an arithmetic number, because the mean of its divisors is an integer number (3046571619).

Almost surely, 276348054368 is an apocalyptic number.

It is an amenable number.

76348054368 is an abundant number, since it is smaller than the sum of its proper divisors (143005102200).

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

76348054368 is a wasteful number, since it uses less digits than its factorization.

76348054368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733076 (or 2733065 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 76348054368 in words is "seventy-six billion, three hundred forty-eight million, fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 2732963 5465926 8198889 10931852 16397778 21863704 24596667 32795556 43727408 49193334 65591112 87454816 98386668 131182224 196773336 262364448 265097411 393546672 530194822 787093344 795292233 1060389644 1590584466 2120779288 2385876699 3181168932 4241558576 4771753398 6362337864 8483117152 9543506796 12724675728 19087013592 25449351456 38174027184 76348054368