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5873438640 = 243536766683
BaseRepresentation
bin1010111100001010…
…11000111110110000
3120011022220121010110
411132011120332300
544012100014030
62410452101320
7265356255546
oct53605307660
916138817113
105873438640
112544448423
12117b004840
13727ab54a4
143da0a5d96
152459881b0
hex15e158fb0

5873438640 has 80 divisors (see below), whose sum is σ = 18257545728. Its totient is φ = 1561959168.

The previous prime is 5873438639. The next prime is 5873438651. The reversal of 5873438640 is 468343785.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5873438640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54739 + ... + 121421.

Almost surely, 25873438640 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 5873438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128772864).

5873438640 is an abundant number, since it is smaller than the sum of its proper divisors (12384107088).

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

5873438640 is a wasteful number, since it uses less digits than its factorization.

5873438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67066 (or 67060 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 5873438640 is about 76638.3627173754. The cubic root of 5873438640 is about 1804.2531769225.

The spelling of 5873438640 in words is "five billion, eight hundred seventy-three million, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 734 1101 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 11010 14680 17616 22020 29360 44040 66683 88080 133366 200049 266732 333415 400098 533464 666830 800196 1000245 1066928 1333660 1600392 2000490 2667320 3200784 4000980 5334640 8001960 16003920 24472661 48945322 73417983 97890644 122363305 146835966 195781288 244726610 293671932 367089915 391562576 489453220 587343864 734179830 978906440 1174687728 1468359660 1957812880 2936719320 5873438640