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7157064720 = 2435134794789
BaseRepresentation
bin1101010101001100…
…00010010000010000
3200110210021120002010
412222212002100100
5104124202032340
63142104422520
7342234021621
oct65246022020
920423246063
107157064720
113042a81723
121478a77a40
138a0a09650
144bc763a48
152bd4e1b80
hex1aa982410

7157064720 has 160 divisors (see below), whose sum is σ = 23948467200. Its totient is φ = 1757693952.

The previous prime is 7157064709. The next prime is 7157064749. The reversal of 7157064720 is 274607517.

It is a super-3 number, since 3×71570647203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492086 + ... + 1496874.

It is an arithmetic number, because the mean of its divisors is an integer number (149677920).

Almost surely, 27157064720 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 7157064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974233600).

7157064720 is an abundant number, since it is smaller than the sum of its proper divisors (16791402480).

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

7157064720 is a wasteful number, since it uses less digits than its factorization.

7157064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 7157064720 is about 84599.4368775585. The cubic root of 7157064720 is about 1927.1328219693.

The spelling of 7157064720 in words is "seven billion, one hundred fifty-seven million, sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 479 520 624 780 958 1040 1437 1560 1916 2395 2874 3120 3832 4789 4790 5748 6227 7185 7664 9578 9580 11496 12454 14367 14370 18681 19156 19160 22992 23945 24908 28734 28740 31135 37362 38312 38320 47890 49816 57468 57480 62257 62270 71835 74724 76624 93405 95780 99632 114936 114960 124514 124540 143670 149448 186771 186810 191560 229872 249028 249080 287340 298896 311285 373542 373620 383120 498056 498160 574680 622570 747084 747240 933855 996112 1149360 1245140 1494168 1494480 1867710 2293931 2490280 2988336 3735420 4587862 4980560 6881793 7470840 9175724 11469655 13763586 14941680 18351448 22939310 27527172 29821103 34408965 36702896 45878620 55054344 59642206 68817930 89463309 91757240 110108688 119284412 137635860 149105515 178926618 183514480 238568824 275271720 298211030 357853236 447316545 477137648 550543440 596422060 715706472 894633090 1192844120 1431412944 1789266180 2385688240 3578532360 7157064720