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11138497812 = 22331367118409
BaseRepresentation
bin10100101111110011…
…11111110100010100
31001202021001022112000
422113321333310110
5140302423412222
65041132355300
7543010445361
oct122771776424
931667038460
1011138497812
1147a64342a2
1221aa315b30
13108682a010
14779443468
15452cea9ac
hex297e7fd14

11138497812 has 96 divisors (see below), whose sum is σ = 31563369600. Its totient is φ = 3376048896.

The previous prime is 11138497807. The next prime is 11138497817. The reversal of 11138497812 is 21879483111.

It is a happy number.

11138497812 is a `hidden beast` number, since 11 + 138 + 497 + 8 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11138497807) and next prime (11138497817).

It is a super-2 number, since 2×111384978122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138497817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34864 + ... + 153272.

It is an arithmetic number, because the mean of its divisors is an integer number (328785100).

Almost surely, 211138497812 is an apocalyptic number.

11138497812 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 11138497812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781684800).

11138497812 is an abundant number, since it is smaller than the sum of its proper divisors (20424871788).

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

11138497812 is a wasteful number, since it uses less digits than its factorization.

11138497812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118502 (or 118494 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 11138497812 in words is "eleven billion, one hundred thirty-eight million, four hundred ninety-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 94068 118409 236818 355227 473636 710454 1065681 1420908 1539317 2131362 3078634 3197043 4262724 4617951 6157268 6394086 7933403 9235902 12788172 13853853 15866806 18471804 23800209 27707706 31733612 41561559 47600418 55415412 71400627 83123118 95200836 103134239 142801254 166246236 206268478 214201881 285602508 309402717 412536956 428403762 618805434 856807524 928208151 1237610868 1856416302 2784624453 3712832604 5569248906 11138497812