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5644000416 = 253295934361
BaseRepresentation
bin1010100000110100…
…01001110010100000
3112120100011221001110
411100122021302200
543024331003131
62332014303320
7256602132465
oct52032116240
915510157043
105644000416
11243698905a
1211161b7b40
136bc3c1b22
143b781d66c
15230766646
hex150689ca0

5644000416 has 96 divisors (see below), whose sum is σ = 15586603200. Its totient is φ = 1785620480.

The previous prime is 5644000409. The next prime is 5644000441. The reversal of 5644000416 is 6140004465.

It is a tau number, because it is divible by the number of its divisors (96).

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, 147076 + ... + 181436.

It is an arithmetic number, because the mean of its divisors is an integer number (162360450).

Almost surely, 25644000416 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 5644000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793301600).

5644000416 is an abundant number, since it is smaller than the sum of its proper divisors (9942602784).

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

5644000416 is a wasteful number, since it uses less digits than its factorization.

5644000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34462 (or 34454 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5644000416 is about 75126.5626526331. The cubic root of 5644000416 is about 1780.4468448503.

The spelling of 5644000416 in words is "five billion, six hundred forty-four million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 87 96 116 118 174 177 232 236 348 354 464 472 696 708 928 944 1392 1416 1711 1888 2784 2832 3422 5133 5664 6844 10266 13688 20532 27376 34361 41064 54752 68722 82128 103083 137444 164256 206166 274888 412332 549776 824664 996469 1099552 1649328 1992938 2027299 2989407 3298656 3985876 4054598 5978814 6081897 7971752 8109196 11957628 12163794 15943504 16218392 23915256 24327588 31887008 32436784 47830512 48655176 58791671 64873568 95661024 97310352 117583342 176375013 194620704 235166684 352750026 470333368 705500052 940666736 1411000104 1881333472 2822000208 5644000416