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5858741664 = 2535753439
BaseRepresentation
bin1010111010011010…
…10100110110100000
3120010022020220200000
411131031110312200
543444314213124
62405205100000
7265120324326
oct53515246640
916108226600
105858741664
11253711a366
1211760b7600
13724a3aa59
143d815bd16
152445336c9
hex15d354da0

5858741664 has 72 divisors (see below), whose sum is σ = 17277886080. Its totient is φ = 1952911296.

The previous prime is 5858741633. The next prime is 5858741731. The reversal of 5858741664 is 4661478585.

5858741664 is a `hidden beast` number, since 58 + 587 + 4 + 1 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5858741664.

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, 368944 + ... + 384495.

It is an arithmetic number, because the mean of its divisors is an integer number (239970640).

Almost surely, 25858741664 is an apocalyptic number.

5858741664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5858741664 is an abundant number, since it is smaller than the sum of its proper divisors (11419144416).

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

5858741664 is an equidigital number, since it uses as much as digits as its factorization.

5858741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753464 (or 753444 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 5858741664 is about 76542.4174167500. The cubic root of 5858741664 is about 1802.7470056230.

The spelling of 5858741664 in words is "five billion, eight hundred fifty-eight million, seven hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 753439 1506878 2260317 3013756 4520634 6027512 6780951 9041268 12055024 13561902 18082536 20342853 24110048 27123804 36165072 40685706 54247608 61028559 72330144 81371412 108495216 122057118 162742824 183085677 216990432 244114236 325485648 366171354 488228472 650971296 732342708 976456944 1464685416 1952913888 2929370832 5858741664