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4345993872 = 243311914561
BaseRepresentation
bin1000000110000101…
…01001101010010000
3102012212202100211000
410003002221222100
532400033300442
61555125422000
7212461224033
oct40302515220
912185670730
104345993872
111930222580
12a1356a900
1354350430c
142d329b01a
151a681bd4c
hex1030a9a90

4345993872 has 80 divisors (see below), whose sum is σ = 13608682560. Its totient is φ = 1316966400.

The previous prime is 4345993843. The next prime is 4345993901. The reversal of 4345993872 is 2783995434.

4345993872 is a `hidden beast` number, since 43 + 4 + 599 + 3 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4345993843) and next prime (4345993901).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452529 + ... + 462032.

It is an arithmetic number, because the mean of its divisors is an integer number (170108532).

Almost surely, 24345993872 is an apocalyptic number.

It is an amenable number.

4345993872 is an abundant number, since it is smaller than the sum of its proper divisors (9262688688).

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

4345993872 is a wasteful number, since it uses less digits than its factorization.

4345993872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914589 (or 914577 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 4345993872 is about 65924.1524177596. The cubic root of 4345993872 is about 1631.9106244307.

The spelling of 4345993872 in words is "four billion, three hundred forty-five million, nine hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 914561 1829122 2743683 3658244 5487366 7316488 8231049 10060171 10974732 14632976 16462098 20120342 21949464 24693147 30180513 32924196 40240684 43898928 49386294 60361026 65848392 80481368 90541539 98772588 120722052 131696784 160962736 181083078 197545176 241444104 271624617 362166156 395090352 482888208 543249234 724332312 1086498468 1448664624 2172996936 4345993872