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45934132448 = 2531263176063
BaseRepresentation
bin101010110001111000…
…110011110011100000
311101120020011200212202
4222301320303303200
51223033114214243
633033555512332
73214201453331
oct526170636340
9141506150782
1045934132448
1118531690636
128a9b2b86a8
1344405c8739
14231a752288
1512dc95d4b8
hexab1e33ce0

45934132448 has 48 divisors (see below), whose sum is σ = 93705486336. Its totient is φ = 22141557120.

The previous prime is 45934132421. The next prime is 45934132451. The reversal of 45934132448 is 84423143954.

45934132448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172865 + ... + 348927.

It is an arithmetic number, because the mean of its divisors is an integer number (1952197632).

Almost surely, 245934132448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45934132448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46852743168).

45934132448 is an abundant number, since it is smaller than the sum of its proper divisors (47771353888).

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

45934132448 is a wasteful number, since it uses less digits than its factorization.

45934132448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176367 (or 176359 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The spelling of 45934132448 in words is "forty-five billion, nine hundred thirty-four million, one hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 263 496 526 992 1052 2104 4208 8153 8416 16306 32612 65224 130448 176063 260896 352126 704252 1408504 2817008 5457953 5634016 10915906 21831812 43663624 46304569 87327248 92609138 174654496 185218276 370436552 740873104 1435441639 1481746208 2870883278 5741766556 11483533112 22967066224 45934132448