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4521920364 = 22331317318617
BaseRepresentation
bin1000011011000011…
…10000011101101100
3102200010210100121000
410031201300131230
533230102422424
62024412240300
7220025455203
oct41541603554
912603710530
104521920364
111a10562775
12a62470090
13570ab0030
1430c7b423a
151b6ebd3c9
hex10d87076c

4521920364 has 96 divisors (see below), whose sum is σ = 12698965440. Its totient is φ = 1383243264.

The previous prime is 4521920357. The next prime is 4521920387. The reversal of 4521920364 is 4630291254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233584 + ... + 252200.

It is an arithmetic number, because the mean of its divisors is an integer number (132280890).

Almost surely, 24521920364 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 4521920364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349482720).

4521920364 is an abundant number, since it is smaller than the sum of its proper divisors (8177045076).

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

4521920364 is a wasteful number, since it uses less digits than its factorization.

4521920364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18816 (or 18808 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4521920364 is about 67245.2255851670. The cubic root of 4521920364 is about 1653.6400036876.

The spelling of 4521920364 in words is "four billion, five hundred twenty-one million, nine hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 173 234 346 351 468 519 692 702 1038 1404 1557 2076 2249 3114 4498 4671 6228 6747 8996 9342 13494 18617 18684 20241 26988 37234 40482 55851 60723 74468 80964 111702 121446 167553 223404 242021 242892 335106 484042 502659 670212 726063 968084 1005318 1452126 2010636 2178189 2904252 3220741 4356378 6441482 6534567 8712756 9662223 12882964 13069134 19324446 26138268 28986669 38648892 41869633 57973338 83739266 86960007 115946676 125608899 167478532 173920014 251217798 347840028 376826697 502435596 753653394 1130480091 1507306788 2260960182 4521920364