Search a number
-
+
919905336454368 = 253115571563954179
BaseRepresentation
bin1101000100101001100010011…
…0110011100110110011100000
311110122010002110120010220011110
43101022120212303212303200
51431033212112113014433
613020250402202343320
7364522652536160505
oct32112304663466340
94418102416126143
10919905336454368
11247123731600570
128720b997abab40
133063a916167134
14123239279054ac
157153caedde963
hex344a626ce6ce0

919905336454368 has 96 divisors (see below), whose sum is σ = 2639003771698560. Its totient is φ = 278258727349760.

The previous prime is 919905336454339. The next prime is 919905336454369. The reversal of 919905336454368 is 863454633509919.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 919905336454368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919905336454369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781388898 + ... + 782565281.

It is an arithmetic number, because the mean of its divisors is an integer number (27489622621860).

Almost surely, 2919905336454368 is an apocalyptic number.

It is an amenable number.

919905336454368 is an abundant number, since it is smaller than the sum of its proper divisors (1719098435244192).

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

919905336454368 is a wasteful number, since it uses less digits than its factorization.

919905336454368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563954760 (or 1563954752 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 75.

The spelling of 919905336454368 in words is "nine hundred nineteen trillion, nine hundred five billion, three hundred thirty-six million, four hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 557 1056 1114 1671 2228 3342 4456 6127 6684 8912 12254 13368 17824 18381 24508 26736 36762 49016 53472 73524 98032 147048 196064 294096 588192 1563954179 3127908358 4691862537 6255816716 9383725074 12511633432 17203495969 18767450148 25023266864 34406991938 37534900296 50046533728 51610487907 68813983876 75069800592 103220975814 137627967752 150139601184 206441951628 275255935504 412883903256 550511871008 825767806512 871122477703 1651535613024 1742244955406 2613367433109 3484489910812 5226734866218 6968979821624 9582347254733 10453469732436 13937959643248 19164694509466 20906939464872 27875919286496 28747041764199 38329389018932 41813878929744 57494083528398 76658778037864 83627757859488 114988167056796 153317556075728 229976334113592 306635112151456 459952668227184 919905336454368