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221363578741152 = 25314779156023453
BaseRepresentation
bin110010010101010000111001…
…011110100010000110100000
31002000210011002102001201011010
4302111100321132202012200
5213003310102124204102
62102445005120220520
764424663561366361
oct6225207136420640
91060704072051133
10221363578741152
1164595848298851
12209b18b276a740
13966965a672c33
143c940a92d7b68
151a8d294860d6c
hexc954397a21a0

221363578741152 has 48 divisors (see below), whose sum is σ = 581118715830240. Its totient is φ = 73782866356992.

The previous prime is 221363578741139. The next prime is 221363578741157. The reversal of 221363578741152 is 251147875363122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 221363578741092 and 221363578741101.

It is not an unprimeable number, because it can be changed into a prime (221363578741157) 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, 76592943 + ... + 79430510.

It is an arithmetic number, because the mean of its divisors is an integer number (12106639913130).

Almost surely, 2221363578741152 is an apocalyptic number.

It is an amenable number.

221363578741152 is an abundant number, since it is smaller than the sum of its proper divisors (359755137089088).

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

221363578741152 is a wasteful number, since it uses less digits than its factorization.

221363578741152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156038245 (or 156038237 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The spelling of 221363578741152 in words is "two hundred twenty-one trillion, three hundred sixty-three billion, five hundred seventy-eight million, seven hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14779 29558 44337 59116 88674 118232 177348 236464 354696 472928 709392 1418784 156023453 312046906 468070359 624093812 936140718 1248187624 1872281436 2496375248 3744562872 4992750496 7489125744 14978251488 2305870611887 4611741223774 6917611835661 9223482447548 13835223671322 18446964895096 27670447342644 36893929790192 55340894685288 73787859580384 110681789370576 221363578741152