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5679980172 = 22375471187
BaseRepresentation
bin1010100101000110…
…11001111010001100
3112122211212220000000
411102203121322030
543113033331142
62335341404300
7260520014646
oct52243317214
915584786000
105679980172
112455223199
121126269690
136c69ab819
143bc507896
152339c214c
hex1528d9e8c

5679980172 has 96 divisors (see below), whose sum is σ = 14947511040. Its totient is φ = 1888273296.

The previous prime is 5679980167. The next prime is 5679980231. The reversal of 5679980172 is 2710899765.

5679980172 is a `hidden beast` number, since 567 + 9 + 9 + 8 + 0 + 1 + 72 = 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 31 ways as a sum of consecutive naturals, for example, 4784563 + ... + 4785749.

It is an arithmetic number, because the mean of its divisors is an integer number (155703240).

Almost surely, 25679980172 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 5679980172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473755520).

5679980172 is an abundant number, since it is smaller than the sum of its proper divisors (9267530868).

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

5679980172 is a wasteful number, since it uses less digits than its factorization.

5679980172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 5679980172 is about 75365.6431804307. The cubic root of 5679980172 is about 1784.2222047387. Note that the first 4 decimals are identical.

The spelling of 5679980172 in words is "five billion, six hundred seventy-nine million, nine hundred eighty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 547 729 972 1094 1187 1458 1641 2187 2188 2374 2916 3282 3561 4374 4748 4923 6564 7122 8748 9846 10683 14244 14769 19692 21366 29538 32049 42732 44307 59076 64098 88614 96147 128196 132921 177228 192294 265842 288441 384588 398763 531684 576882 649289 797526 865323 1153764 1196289 1298578 1595052 1730646 1947867 2392578 2595969 2597156 3461292 3895734 4785156 5191938 5843601 7791468 10383876 11687202 17530803 23374404 35061606 52592409 70123212 105184818 157777227 210369636 315554454 473331681 631108908 946663362 1419995043 1893326724 2839990086 5679980172