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1379074464 = 25337122481
BaseRepresentation
bin101001000110011…
…0000000110100000
310120002222020112000
41102030300012200
510311020340324
6344502204000
746113640155
oct12214600640
93502866460
101379074464
116484a7069
12325a23600
1318c932cc1
14d122622c
158110e9c9
hex523301a0

1379074464 has 96 divisors (see below), whose sum is σ = 4079134080. Its totient is φ = 453196800.

The previous prime is 1379074421. The next prime is 1379074513. The reversal of 1379074464 is 4644709731.

1379074464 is a `hidden beast` number, since 1 + 37 + 90 + 74 + 464 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50104 + ... + 72584.

It is an arithmetic number, because the mean of its divisors is an integer number (42490980).

Almost surely, 21379074464 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 1379074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039567040).

1379074464 is an abundant number, since it is smaller than the sum of its proper divisors (2700059616).

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

1379074464 is a wasteful number, since it uses less digits than its factorization.

1379074464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22571 (or 22557 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1379074464 is about 37135.8918568007. The cubic root of 1379074464 is about 1113.0873290433.

The spelling of 1379074464 in words is "one billion, three hundred seventy-nine million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 22481 30672 44962 61344 67443 89924 134886 179848 202329 269772 359696 404658 539544 606987 719392 809316 1079088 1213974 1596151 1618632 2158176 2427948 3192302 3237264 4788453 4855896 6384604 6474528 9576906 9711792 12769208 14365359 19153812 19423584 25538416 28730718 38307624 43096077 51076832 57461436 76615248 86192154 114922872 153230496 172384308 229845744 344768616 459691488 689537232 1379074464