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34554045504 = 2631121787491
BaseRepresentation
bin100000001011100101…
…001110010001000000
310022012010112101101010
4200023211032101000
51031231313424004
623512433040520
72332165353306
oct401345162100
9108163471333
1034554045504
1113721948900
1268440b6140
133348a12494
14195b1c2276
15d73840a89
hex80b94e440

34554045504 has 168 divisors, whose sum is σ = 106403570784. Its totient is φ = 9854873600.

The previous prime is 34554045439. The next prime is 34554045511. The reversal of 34554045504 is 40554045543.

It is a super-2 number, since 2×345540455042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351199 + ... + 438689.

It is an arithmetic number, because the mean of its divisors is an integer number (633354588).

Almost surely, 234554045504 is an apocalyptic number.

34554045504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34554045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53201785392).

34554045504 is an abundant number, since it is smaller than the sum of its proper divisors (71849525280).

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

34554045504 is a wasteful number, since it uses less digits than its factorization.

34554045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87545 (or 87524 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

Adding to 34554045504 its sum of digits (39), we get a palindrome (34554045543).

The spelling of 34554045504 in words is "thirty-four billion, five hundred fifty-four million, forty-five thousand, five hundred four".