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4556683264 = 21172172671
BaseRepresentation
bin1000011111001100…
…10111100000000000
3102202120012111022211
410033212113200000
533313002331024
62032053311504
7220630111600
oct41746274000
912676174284
104556683264
111a29146641
12a72035594
13578061bb3
14313262c00
151ba088594
hex10f997800

4556683264 has 144 divisors (see below), whose sum is σ = 11226327840. Its totient is φ = 1837301760.

The previous prime is 4556683253. The next prime is 4556683277. The reversal of 4556683264 is 4623866554.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1704649 + ... + 1707319.

It is an arithmetic number, because the mean of its divisors is an integer number (77960610).

Almost surely, 24556683264 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 4556683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613163920).

4556683264 is an abundant number, since it is smaller than the sum of its proper divisors (6669644576).

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

4556683264 is a wasteful number, since it uses less digits than its factorization.

4556683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2697 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The square root of 4556683264 is about 67503.2092866702. The cubic root of 4556683264 is about 1657.8667211415.

The spelling of 4556683264 in words is "four billion, five hundred fifty-six million, six hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1024 1088 1568 1666 1792 1904 2048 2176 2671 3136 3332 3584 3808 4352 5342 6272 6664 7168 7616 8704 10684 12544 13328 14336 15232 17408 18697 21368 25088 26656 30464 34816 37394 42736 45407 50176 53312 60928 74788 85472 90814 100352 106624 121856 130879 149576 170944 181628 213248 243712 261758 299152 317849 341888 363256 426496 523516 598304 635698 683776 726512 852992 1047032 1196608 1271396 1367552 1453024 1705984 2094064 2224943 2393216 2542792 2735104 2906048 4188128 4449886 4786432 5085584 5470208 5812096 8376256 8899772 9572864 10171168 11624192 16752512 17799544 19145728 20342336 23248384 33505024 35599088 38291456 40684672 46496768 67010048 71198176 81369344 92993536 134020096 142396352 162738688 268040192 284792704 325477376 569585408 650954752 1139170816 2278341632 4556683264