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78021889664 = 271316197517
BaseRepresentation
bin100100010101001110…
…1111000111010000000
321110101110221122202012
41020222131320322000
52234242100432124
655502011512052
75431312056035
oct1105235707200
9243343848665
1078021889664
11300a8360554
1213155458628
137485383024
143ac217b38c
1520699d1e0e
hex122a778e80

78021889664 has 64 divisors (see below), whose sum is σ = 156894645600. Its totient is φ = 38645468160.

The previous prime is 78021889643. The next prime is 78021889667. The reversal of 78021889664 is 46698812087.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (78021889667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10375634 + ... + 10383150.

Almost surely, 278021889664 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 78021889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78447322800).

78021889664 is an abundant number, since it is smaller than the sum of its proper divisors (78872755936).

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

78021889664 is a wasteful number, since it uses less digits than its factorization.

78021889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 78021889664 in words is "seventy-eight billion, twenty-one million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 619 1048 1238 2096 2476 4192 4952 7517 8384 9904 15034 16768 19808 30068 39616 60136 79232 81089 120272 162178 240544 324356 481088 648712 962176 984727 1297424 1969454 2594848 3938908 4653023 5189696 7877816 9306046 10379392 15755632 18612092 31511264 37224184 63022528 74448368 126045056 148896736 297793472 595586944 609546013 1219092026 2438184052 4876368104 9752736208 19505472416 39010944832 78021889664