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11392123392 = 29331363391
BaseRepresentation
bin10101001110000011…
…00000001000000000
31002101221021211102000
422213001200020000
5141312340422032
65122232424000
7552210310506
oct124701401000
932357254360
1011392123392
114916613a11
12225b248000
1310c723ba20
147a0dc4676
1546a1e8e7c
hex2a7060200

11392123392 has 160 divisors (see below), whose sum is σ = 36316008960. Its totient is φ = 3505213440.

The previous prime is 11392123339. The next prime is 11392123403. The reversal of 11392123392 is 29332129311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 148017 + ... + 211407.

It is an arithmetic number, because the mean of its divisors is an integer number (226975056).

Almost surely, 211392123392 is an apocalyptic number.

11392123392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11392123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158004480).

11392123392 is an abundant number, since it is smaller than the sum of its proper divisors (24923885568).

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

11392123392 is an equidigital number, since it uses as much as digits as its factorization.

11392123392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63431 (or 63409 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The spelling of 11392123392 in words is "eleven billion, three hundred ninety-two million, one hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 19968 22464 29952 44928 59904 63391 89856 126782 179712 190173 253564 380346 507128 570519 760692 824083 1014256 1141038 1521384 1648166 1711557 2028512 2282076 2472249 3042768 3296332 3423114 4057024 4564152 4944498 6085536 6592664 6846228 7416747 8114048 9128304 9888996 12171072 13185328 13692456 14833494 16228096 18256608 19777992 22250241 24342144 26370656 27384912 29666988 32456192 36513216 39555984 44500482 48684288 52741312 54769824 59333976 73026432 79111968 89000964 97368576 105482624 109539648 118667952 146052864 158223936 178001928 210965248 219079296 237335904 292105728 316447872 356003856 421930496 438158592 474671808 632895744 712007712 876317184 949343616 1265791488 1424015424 1898687232 2848030848 3797374464 5696061696 11392123392