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45738586748460 = 22354716219357003
BaseRepresentation
bin10100110011001010110000…
…01101110011011000101100
312222221120021202022110022110
422121211120031303120230
521443340111201422320
6241140003334044020
712430334550426264
oct1231453015633054
9188846252273273
1045738586748460
11136346978a9491
1251685401a9610
131c6a19013cba8
14b41a8bb727a4
15544b73dbb5e0
hex29995837362c

45738586748460 has 48 divisors (see below), whose sum is σ = 130792894880256. Its totient is φ = 11937446753472.

The previous prime is 45738586748411. The next prime is 45738586748483. The reversal of 45738586748460 is 6484768583754.

It is a happy number.

It is a super-3 number, since 3×457385867484603 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109675682 + ... + 8109681321.

It is an arithmetic number, because the mean of its divisors is an integer number (2724851976672).

Almost surely, 245738586748460 is an apocalyptic number.

It is an amenable number.

45738586748460 is an abundant number, since it is smaller than the sum of its proper divisors (85054308131796).

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

45738586748460 is a wasteful number, since it uses less digits than its factorization.

45738586748460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219357062 (or 16219357060 counting only the distinct ones).

The product of its (nonzero) digits is 4335206400, while the sum is 75.

The spelling of 45738586748460 in words is "forty-five trillion, seven hundred thirty-eight billion, five hundred eighty-six million, seven hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 16219357003 32438714006 48658071009 64877428012 81096785015 97316142018 162193570030 194632284036 243290355045 324387140060 486580710090 762309779141 973161420180 1524619558282 2286929337423 3049239116564 3811548895705 4573858674846 7623097791410 9147717349692 11434646687115 15246195582820 22869293374230 45738586748460