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688499797080 = 233525137361283
BaseRepresentation
bin10100000010011011100…
…10010010110001011000
32102211010201211120002110
422001031302102301120
542240021422001310
61244143100032320
7100512444500064
oct12011562226130
92384121746073
10688499797080
11245a9a205a67
12b15292326a0
134cc04a19044
1425475c28aa4
1512d9965ed20
hexa04dc92c58

688499797080 has 128 divisors (see below), whose sum is σ = 2079321995520. Its totient is φ = 182375232000.

The previous prime is 688499797021. The next prime is 688499797109. The reversal of 688499797080 is 80797994886.

It is a junction number, because it is equal to n+sod(n) for n = 688499796993 and 688499797011.

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, 11204119 + ... + 11265401.

It is an arithmetic number, because the mean of its divisors is an integer number (16244703090).

Almost surely, 2688499797080 is an apocalyptic number.

688499797080 is a gapful number since it is divisible by the number (60) 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 688499797080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039660997760).

688499797080 is an abundant number, since it is smaller than the sum of its proper divisors (1390822198440).

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

688499797080 is a wasteful number, since it uses less digits than its factorization.

688499797080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61921 (or 61917 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 75.

The spelling of 688499797080 in words is "six hundred eighty-eight billion, four hundred ninety-nine million, seven hundred ninety-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 373 502 746 753 1004 1119 1255 1492 1506 1865 2008 2238 2510 2984 3012 3730 3765 4476 5020 5595 6024 7460 7530 8952 10040 11190 14920 15060 22380 30120 44760 61283 93623 122566 183849 187246 245132 280869 306415 367698 374492 468115 490264 561738 612830 735396 748984 919245 936230 1123476 1225660 1404345 1470792 1838490 1872460 2246952 2451320 2808690 3676980 3744920 5617380 7353960 11234760 15382033 22858559 30764066 45717118 46146099 61528132 68575677 76910165 91434236 92292198 114292795 123056264 137151354 153820330 182868472 184584396 228585590 230730495 274302708 307640660 342878385 369168792 457171180 461460990 548605416 615281320 685756770 914342360 922921980 1371513540 1845843960 2743027080 5737498309 11474996618 17212494927 22949993236 28687491545 34424989854 45899986472 57374983090 68849979708 86062474635 114749966180 137699959416 172124949270 229499932360 344249898540 688499797080