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11342869992 = 2334293119471
BaseRepresentation
bin10101001000001011…
…00111010111101000
31002021111121111110000
422210011213113220
5141212233314432
65113313023000
7551041542546
oct124405472750
932244544400
1011342869992
1148a0833123
122246854a60
1310b9c853bc
14798642d96
15465c1a57c
hex2a41675e8

11342869992 has 160 divisors (see below), whose sum is σ = 33928012800. Its totient is φ = 3532636800.

The previous prime is 11342869991. The next prime is 11342870027. The reversal of 11342869992 is 29996824311.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (11342869991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572817 + ... + 592287.

It is an arithmetic number, because the mean of its divisors is an integer number (212050080).

Almost surely, 211342869992 is an apocalyptic number.

11342869992 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 11342869992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964006400).

11342869992 is an abundant number, since it is smaller than the sum of its proper divisors (22585142808).

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

11342869992 is a wasteful number, since it uses less digits than its factorization.

11342869992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19549 (or 19536 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 11342869992 in words is "eleven billion, three hundred forty-two million, eight hundred sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 81 87 93 108 116 124 162 174 186 216 232 248 261 279 324 348 372 522 558 648 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2349 2511 2697 3132 3348 3596 4698 5022 5394 6264 6696 7192 8091 9396 10044 10788 16182 18792 19471 20088 21576 24273 32364 38942 48546 58413 64728 72819 77884 97092 116826 145638 155768 175239 194184 233652 291276 350478 467304 525717 564659 582552 603601 700956 1051434 1129318 1207202 1401912 1577151 1693977 1810803 2102868 2258636 2414404 3154302 3387954 3621606 4205736 4517272 4828808 5081931 5432409 6308604 6775908 7243212 10163862 10864818 12617208 13551816 14486424 15245793 16297227 17504429 20327724 21729636 30491586 32594454 35008858 40655448 43459272 45737379 48891681 52513287 60983172 65188908 70017716 91474758 97783362 105026574 121966344 130377816 140035432 157539861 182949516 195566724 210053148 315079722 365899032 391133448 420106296 472619583 630159444 945239166 1260318888 1417858749 1890478332 2835717498 3780956664 5671434996 11342869992