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5121790704 = 24363371303
BaseRepresentation
bin1001100010100100…
…00101001011110000
3111012221112221000000
410301102011023300
540442134300304
62204121430000
7240631334262
oct46122051360
914187487000
105121790704
112199132188
12bab33b300
136381618b4
14368325b32
151ee9b2939
hex1314852f0

5121790704 has 140 divisors (see below), whose sum is σ = 14934000016. Its totient is φ = 1700891136.

The previous prime is 5121790703. The next prime is 5121790769. The reversal of 5121790704 is 4070971215.

It is a happy number.

5121790704 is a `hidden beast` number, since 512 + 1 + 79 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121790703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3930117 + ... + 3931419.

Almost surely, 25121790704 is an apocalyptic number.

5121790704 is a gapful number since it is divisible by the number (54) 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 5121790704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467000008).

5121790704 is an abundant number, since it is smaller than the sum of its proper divisors (9812209312).

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

5121790704 is a wasteful number, since it uses less digits than its factorization.

5121790704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 5121790704 is about 71566.6871106942. The cubic root of 5121790704 is about 1723.7486637513.

The spelling of 5121790704 in words is "five billion, one hundred twenty-one million, seven hundred ninety thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 337 432 486 648 674 729 972 1011 1296 1303 1348 1458 1944 2022 2606 2696 2916 3033 3888 3909 4044 5212 5392 5832 6066 7818 8088 9099 10424 11664 11727 12132 15636 16176 18198 20848 23454 24264 27297 31272 35181 36396 46908 48528 54594 62544 70362 72792 81891 93816 105543 109188 140724 145584 163782 187632 211086 218376 245673 281448 316629 327564 422172 436752 439111 491346 562896 633258 655128 844344 878222 949887 982692 1266516 1310256 1317333 1688688 1756444 1899774 1965384 2533032 2634666 3512888 3799548 3930768 3951999 5066064 5269332 7025776 7599096 7903998 10538664 11855997 15198192 15807996 21077328 23711994 31615992 35567991 47423988 63231984 71135982 94847976 106703973 142271964 189695952 213407946 284543928 320111919 426815892 569087856 640223838 853631784 1280447676 1707263568 2560895352 5121790704