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76513368720 = 24356110350741
BaseRepresentation
bin100011101000010001…
…1010101101010010000
321022111100101212001010
41013100203111222100
52223144410244340
655052203010520
75346033621555
oct1072043255220
9238440355033
1076513368720
112a4a3890428
12129b4209a40
1372a4999499
1439bba9aa2c
151ecc352b80
hex11d08d5a90

76513368720 has 160 divisors (see below), whose sum is σ = 243425205504. Its totient is φ = 19873843200.

The previous prime is 76513368719. The next prime is 76513368739. The reversal of 76513368720 is 2786331567.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76513368720.

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, 1482550 + ... + 1533290.

Almost surely, 276513368720 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 76513368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121712602752).

76513368720 is an abundant number, since it is smaller than the sum of its proper divisors (166911836784).

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

76513368720 is a wasteful number, since it uses less digits than its factorization.

76513368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50921 (or 50915 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 76513368720 in words is "seventy-six billion, five hundred thirteen million, three hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 103 120 122 183 206 240 244 305 309 366 412 488 515 610 618 732 824 915 976 1030 1220 1236 1464 1545 1648 1830 2060 2440 2472 2928 3090 3660 4120 4880 4944 6180 6283 7320 8240 12360 12566 14640 18849 24720 25132 31415 37698 50264 50741 62830 75396 94245 100528 101482 125660 150792 152223 188490 202964 251320 253705 301584 304446 376980 405928 502640 507410 608892 753960 761115 811856 1014820 1217784 1507920 1522230 2029640 2435568 3044460 3095201 4059280 5226323 6088920 6190402 9285603 10452646 12177840 12380804 15476005 15678969 18571206 20905292 24761608 26131615 30952010 31357938 37142412 41810584 46428015 49523216 52263230 61904020 62715876 74284824 78394845 83621168 92856030 104526460 123808040 125431752 148569648 156789690 185712060 209052920 247616080 250863504 313579380 318805703 371424120 418105840 627158760 637611406 742848240 956417109 1254317520 1275222812 1594028515 1912834218 2550445624 3188057030 3825668436 4782085545 5100891248 6376114060 7651336872 9564171090 12752228120 15302673744 19128342180 25504456240 38256684360 76513368720