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45146754464 = 2572231251851
BaseRepresentation
bin101010000010111101…
…001100110110100000
311022112100120202100012
4222002331030312200
51214430032120324
632423511344052
73155531036600
oct520275146640
9138470522305
1045146754464
1118168190929
1288bb682028
1343464449c6
142283d50c00
15129377b20e
hexa82f4cda0

45146754464 has 72 divisors (see below), whose sum is σ = 107889612768. Its totient is φ = 18507350400.

The previous prime is 45146754439. The next prime is 45146754491. The reversal of 45146754464 is 46445764154.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589862 + ... + 661989.

It is an arithmetic number, because the mean of its divisors is an integer number (1498466844).

Almost surely, 245146754464 is an apocalyptic number.

It is an amenable number.

45146754464 is an abundant number, since it is smaller than the sum of its proper divisors (62742858304).

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

45146754464 is a wasteful number, since it uses less digits than its factorization.

45146754464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251898 (or 1251883 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 50.

The spelling of 45146754464 in words is "forty-five billion, one hundred forty-six million, seven hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 1251851 2503702 5007404 8762957 10014808 17525914 20029616 28792573 35051828 40059232 57585146 61340699 70103656 115170292 122681398 140207312 201548011 230340584 245362796 280414624 403096022 460681168 490725592 806192044 921362336 981451184 1410836077 1612384088 1962902368 2821672154 3224768176 5643344308 6449536352 11286688616 22573377232 45146754464