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5090784768 = 2933616037
BaseRepresentation
bin1001011110110111…
…10011011000000000
3111010210012122212000
410233123303120000
540411220103033
62201053104000
7240103646046
oct45733633000
914123178760
105090784768
112182684a43
12ba0a88000
136318c6aa4
14364174396
151ebddaa13
hex12f6f3600

5090784768 has 160 divisors (see below), whose sum is σ = 15318647520. Its totient is φ = 1668833280.

The previous prime is 5090784683. The next prime is 5090784773. The reversal of 5090784768 is 8674870905.

5090784768 is a `hidden beast` number, since 509 + 0 + 78 + 4 + 7 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840246 + ... + 846282.

It is an arithmetic number, because the mean of its divisors is an integer number (95741547).

Almost surely, 25090784768 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 5090784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659323760).

5090784768 is an abundant number, since it is smaller than the sum of its proper divisors (10227862752).

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

5090784768 is an equidigital number, since it uses as much as digits as its factorization.

5090784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5090784768 is about 71349.7355846537. The cubic root of 5090784768 is about 1720.2632515759.

The spelling of 5090784768 in words is "five billion, ninety million, seven hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 512 549 576 732 768 864 976 1098 1152 1464 1536 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 4608 5856 6037 6588 6912 7808 8784 11712 12074 13176 13824 15616 17568 18111 23424 24148 26352 31232 35136 36222 46848 48296 52704 54333 70272 72444 93696 96592 105408 108666 140544 144888 162999 193184 210816 217332 281088 289776 325998 368257 386368 421632 434664 579552 651996 736514 772736 843264 869328 1104771 1159104 1303992 1473028 1545472 1738656 2209542 2318208 2607984 2946056 3090944 3314313 3477312 4419084 4636416 5215968 5892112 6628626 6954624 8838168 9272832 9942939 10431936 11784224 13257252 13909248 17676336 19885878 20863872 23568448 26514504 27818496 35352672 39771756 41727744 47136896 53029008 70705344 79543512 83455488 94273792 106058016 141410688 159087024 188547584 212116032 282821376 318174048 424232064 565642752 636348096 848464128 1272696192 1696928256 2545392384 5090784768