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76012137720 = 23335216132569
BaseRepresentation
bin100011011001010101…
…1010010110011111000
321021012102020200101000
41012302223102303320
52221133101401340
654530335525000
75330436336651
oct1066253226370
9237172220330
1076012137720
112a266963132
1212894389760
137224ba2cac
1439712a4528
151e9d344d30
hex11b2ad2cf8

76012137720 has 128 divisors (see below), whose sum is σ = 253498824000. Its totient is φ = 20259901440.

The previous prime is 76012137613. The next prime is 76012137763. The reversal of 76012137720 is 2773121067.

76012137720 is a `hidden beast` number, since 7 + 601 + 21 + 3 + 7 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317596 + ... + 2350164.

Almost surely, 276012137720 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 76012137720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126749412000).

76012137720 is an abundant number, since it is smaller than the sum of its proper divisors (177486686280).

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

76012137720 is a wasteful number, since it uses less digits than its factorization.

76012137720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34750 (or 34740 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 76012137720 its reverse (2773121067), we get a palindrome (78785258787).

The spelling of 76012137720 in words is "seventy-six billion, twelve million, one hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2161 4322 6483 8644 10805 12966 17288 19449 21610 25932 32415 32569 38898 43220 51864 58347 64830 65138 77796 86440 97245 97707 116694 129660 130276 155592 162845 194490 195414 233388 259320 260552 291735 293121 325690 388980 390828 466776 488535 583470 586242 651380 777960 781656 879363 977070 1166940 1172484 1302760 1465605 1758726 1954140 2333880 2344968 2931210 3517452 3908280 4396815 5862420 7034904 8793630 11724840 17587260 35174520 70381609 140763218 211144827 281526436 351908045 422289654 563052872 633434481 703816090 844579308 1055724135 1266868962 1407632180 1689158616 1900303443 2111448270 2533737924 2815264360 3167172405 3800606886 4222896540 5067475848 6334344810 7601213772 8445793080 9501517215 12668689620 15202427544 19003034430 25337379240 38006068860 76012137720