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11379709224 = 2333138534751
BaseRepresentation
bin10101001100100100…
…01001010100101000
31002101001221010101000
422212102021110220
5141301201143344
65121110355000
7551666634552
oct124622112450
932331833330
1011379709224
11490a604a74
12225705ba60
1310c47b3370
1479d4b24d2
15469095a69
hex2a6489528

11379709224 has 128 divisors (see below), whose sum is σ = 34088947200. Its totient is φ = 3496608000.

The previous prime is 11379709213. The next prime is 11379709247. The reversal of 11379709224 is 42290797311.

It is a self number, because there is not a number n which added to its sum of digits gives 11379709224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392849 + ... + 2397599.

It is an arithmetic number, because the mean of its divisors is an integer number (266319900).

Almost surely, 211379709224 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 11379709224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044473600).

11379709224 is an abundant number, since it is smaller than the sum of its proper divisors (22709237976).

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

11379709224 is a wasteful number, since it uses less digits than its factorization.

11379709224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 11379709224 in words is "eleven billion, three hundred seventy-nine million, seven hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 853 936 1404 1706 2559 2808 3412 4751 5118 6824 7677 9502 10236 11089 14253 15354 19004 20472 22178 23031 28506 30708 33267 38008 42759 44356 46062 57012 61416 61763 66534 85518 88712 92124 99801 114024 123526 128277 133068 171036 184248 185289 199602 247052 256554 266136 299403 342072 370578 399204 494104 513108 555867 598806 741156 798408 1026216 1111734 1197612 1482312 1667601 2223468 2395224 3335202 4052603 4446936 6670404 8105206 12157809 13340808 16210412 24315618 32420824 36473427 48631236 52683839 72946854 97262472 105367678 109420281 145893708 158051517 210735356 218840562 291787416 316103034 421470712 437681124 474154551 632206068 875362248 948309102 1264412136 1422463653 1896618204 2844927306 3793236408 5689854612 11379709224