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5385036672 = 27325979229
BaseRepresentation
bin1010000001111100…
…10010001110000000
3111220021220012120200
411000332102032000
542012032133142
62250204005200
7250306025241
oct50076221600
914807805520
105385036672
112313792834
121063530800
1367a861442
1439128ccc8
15217b6164c
hex140f92380

5385036672 has 96 divisors (see below), whose sum is σ = 15758847000. Its totient is φ = 1764566016.

The previous prime is 5385036653. The next prime is 5385036689. The reversal of 5385036672 is 2766305835.

5385036672 is a `hidden beast` number, since 538 + 50 + 3 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28354 + ... + 107582.

Almost surely, 25385036672 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 5385036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879423500).

5385036672 is an abundant number, since it is smaller than the sum of its proper divisors (10373810328).

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

5385036672 is a wasteful number, since it uses less digits than its factorization.

5385036672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79308 (or 79293 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5385036672 is about 73382.8091040402. The cubic root of 5385036672 is about 1752.7886610073.

The spelling of 5385036672 in words is "five billion, three hundred eighty-five million, thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 67968 79229 158458 237687 316916 475374 633832 713061 950748 1267664 1426122 1901496 2535328 2852244 3802992 4674511 5070656 5704488 7605984 9349022 10141312 11408976 14023533 15211968 18698044 22817952 28047066 30423936 37396088 42070599 45635904 56094132 74792176 84141198 91271808 112188264 149584352 168282396 224376528 299168704 336564792 448753056 598337408 673129584 897506112 1346259168 1795012224 2692518336 5385036672