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11379724608 = 263736723071
BaseRepresentation
bin10101001100100100…
…01101000101000000
31002101001221220110210
422212102031011000
5141301202141413
65121110554120
7552000030450
oct124622150500
932331856423
1011379724608
11490a61558a
122257068940
1310c47ba375
1479d4b7d60
1546909a3c3
hex2a648d140

11379724608 has 112 divisors (see below), whose sum is σ = 34505375744. Its totient is φ = 3242350080.

The previous prime is 11379724607. The next prime is 11379724627. The reversal of 11379724608 is 80642797311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379724607) 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, 481713 + ... + 504783.

It is an arithmetic number, because the mean of its divisors is an integer number (308083712).

Almost surely, 211379724608 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 11379724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252687872).

11379724608 is an abundant number, since it is smaller than the sum of its proper divisors (23125651136).

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

11379724608 is a wasteful number, since it uses less digits than its factorization.

11379724608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23460 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11379724608 in words is "eleven billion, three hundred seventy-nine million, seven hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 367 448 672 734 1101 1344 1468 2202 2569 2936 4404 5138 5872 7707 8808 10276 11744 15414 17616 20552 23071 23488 30828 35232 41104 46142 61656 69213 70464 82208 92284 123312 138426 161497 164416 184568 246624 276852 322994 369136 484491 493248 553704 645988 738272 968982 1107408 1291976 1476544 1937964 2214816 2583952 3875928 4429632 5167904 7751856 8467057 10335808 15503712 16934114 25401171 31007424 33868228 50802342 59269399 67736456 101604684 118538798 135472912 177808197 203209368 237077596 270945824 355616394 406418736 474155192 541891648 711232788 812837472 948310384 1422465576 1625674944 1896620768 2844931152 3793241536 5689862304 11379724608