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34922216672 = 257295375957
BaseRepresentation
bin100000100001100001…
…101011110011100000
310100010210022102021022
4200201201223303200
51033010041413142
624013144145012
72344255641530
oct404141536340
9110123272238
1034922216672
11138a07542a2
126927468168
1333a708b545
14199405d4c0
15d95d186d2
hex82186bce0

34922216672 has 48 divisors (see below), whose sum is σ = 81284484960. Its totient is φ = 14450569728.

The previous prime is 34922216669. The next prime is 34922216677. The reversal of 34922216672 is 27661222943.

It is a super-2 number, since 2×349222166722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34922216677) 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, 2681483 + ... + 2694474.

It is an arithmetic number, because the mean of its divisors is an integer number (1693426770).

Almost surely, 234922216672 is an apocalyptic number.

34922216672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34922216672 is an abundant number, since it is smaller than the sum of its proper divisors (46362268288).

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

34922216672 is a wasteful number, since it uses less digits than its factorization.

34922216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376003 (or 5375995 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The spelling of 34922216672 in words is "thirty-four billion, nine hundred twenty-two million, two hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 5375957 10751914 21503828 37631699 43007656 75263398 86015312 150526796 155902753 172030624 301053592 311805506 602107184 623611012 1091319271 1204214368 1247222024 2182638542 2494444048 4365277084 4988888096 8730554168 17461108336 34922216672