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77020717074 = 23737151383857
BaseRepresentation
bin100011110111011001…
…0101110000000010010
321100210201001211010220
41013232302232000102
52230214300421244
655214405133510
75364434202360
oct1075662560022
9240721054126
1077020717074
112a734206794
1212b160ba296
137355b25202
143a29206630
15200bb6d319
hex11eecae012

77020717074 has 128 divisors (see below), whose sum is σ = 182690906112. Its totient is φ = 21189081600.

The previous prime is 77020717073. The next prime is 77020717087. The reversal of 77020717074 is 47071702077.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77020717073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89872054 + ... + 89872910.

It is an arithmetic number, because the mean of its divisors is an integer number (1427272704).

Almost surely, 277020717074 is an apocalyptic number.

77020717074 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77020717074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91345453056).

77020717074 is an abundant number, since it is smaller than the sum of its proper divisors (105670189038).

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

77020717074 is a wasteful number, since it uses less digits than its factorization.

77020717074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 134456, while the sum is 42.

The spelling of 77020717074 in words is "seventy-seven billion, twenty million, seven hundred seventeen thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 151 222 259 302 383 453 518 766 777 857 906 1057 1149 1554 1714 2114 2298 2571 2681 3171 5142 5362 5587 5999 6342 8043 11174 11998 14171 16086 16761 17997 28342 31709 33522 35994 39109 42513 57833 63418 78218 85026 95127 99197 115666 117327 129407 173499 190254 198394 221963 234654 258814 297591 328231 346998 388221 404831 443926 595182 656462 665889 776442 809662 905849 984693 1214493 1331778 1811698 1969386 2139821 2297617 2428986 2717547 4279642 4595234 4788059 5435094 6419463 6892851 9576118 12144547 12838926 13785702 14364177 14978747 24289094 28728354 29957494 33516413 36433641 44936241 49562881 67032826 72867282 85011829 89872482 99125762 100549239 148688643 170023658 201098478 255035487 297377286 346940167 510070974 693880334 1040820501 1833826597 2081641002 3667653194 5501479791 11002959582 12836786179 25673572358 38510358537 77020717074