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77988981441012 = 223235912133948311
BaseRepresentation
bin10001101110111000111001…
…100010010000000111110100
3101020010200012012122101021120
4101232320321202100013310
540210232413222103022
6433511350553343540
722266342443321505
oct2156707142200764
9336120165571246
1077988981441012
1122938a39944964
1288b6954107bb0
1334694388a5c75
1415389889a2bac
15903a14452d5c
hex46ee398901f4

77988981441012 has 96 divisors (see below), whose sum is σ = 193263870965760. Its totient is φ = 24424435178880.

The previous prime is 77988981441011. The next prime is 77988981441089. The reversal of 77988981441012 is 21014418988977.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77988981441011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17778337 + ... + 21726647.

It is an arithmetic number, because the mean of its divisors is an integer number (2013165322560).

Almost surely, 277988981441012 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 77988981441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96631935482880).

77988981441012 is an abundant number, since it is smaller than the sum of its proper divisors (115274889524748).

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

77988981441012 is a wasteful number, since it uses less digits than its factorization.

77988981441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949613 (or 3949611 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 69.

The spelling of 77988981441012 in words is "seventy-seven trillion, nine hundred eighty-eight billion, nine hundred eighty-one million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1213 1357 2426 2714 3639 4071 4852 5428 7278 8142 14556 16284 27899 55798 71567 83697 111596 143134 167394 214701 286268 334788 429402 858804 1646041 3292082 3948311 4938123 6584164 7896622 9876246 11844933 15793244 19752492 23689866 47379732 90811153 181622306 232950349 272433459 363244612 465900698 544866918 698851047 931801396 1089733836 1397702094 2795404188 4789301243 5357858027 9578602486 10715716054 14367903729 16073574081 19157204972 21431432108 28735807458 32147148162 57471614916 64294296324 110153928589 220307857178 282568773337 330461785767 440615714356 565137546674 660923571534 847706320011 1130275093348 1321847143068 1695412640022 3390825280044 6499081786751 12998163573502 19497245360253 25996327147004 38994490720506 77988981441012