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10379645472 = 253743359207
BaseRepresentation
bin10011010101010110…
…01101001000100000
3222210101010121210210
421222223031020200
5132224142123342
64433543454120
7515134350030
oct115253151040
928711117723
1010379645472
1144470482a9
122018157340
13c95553171
147067498c0
1540b3a079c
hex26aacd220

10379645472 has 96 divisors (see below), whose sum is σ = 31863186432. Its totient is φ = 2896637184.

The previous prime is 10379645453. The next prime is 10379645473. The reversal of 10379645472 is 27454697301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10379645473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150708 + ... + 208499.

It is an arithmetic number, because the mean of its divisors is an integer number (331908192).

Almost surely, 210379645472 is an apocalyptic number.

10379645472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10379645472 is an abundant number, since it is smaller than the sum of its proper divisors (21483540960).

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

10379645472 is a wasteful number, since it uses less digits than its factorization.

10379645472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359270 (or 359262 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 10379645472 in words is "ten billion, three hundred seventy-nine million, six hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 359207 718414 1077621 1436828 2155242 2514449 2873656 4310484 5028898 5747312 7543347 8620968 10057796 11494624 15086694 15445901 17241936 20115592 30173388 30891802 34483872 40231184 46337703 60346776 61783604 80462368 92675406 108121307 120693552 123567208 185350812 216242614 241387104 247134416 324363921 370701624 432485228 494268832 648727842 741403248 864970456 1297455684 1482806496 1729940912 2594911368 3459881824 5189822736 10379645472