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11342565630 = 232511101113437
BaseRepresentation
bin10101001000001000…
…11101000011111110
31002021111001000221100
422210010131003332
5141212144100010
65113302313530
7551036134314
oct124404350376
932244030840
1011342565630
1148a0645490
1222467288a6
1310b9ba99c6
147985a40b4
15465baa2c0
hex2a411d0fe

11342565630 has 96 divisors (see below), whose sum is σ = 32490458208. Its totient is φ = 2722464000.

The previous prime is 11342565613. The next prime is 11342565649. The reversal of 11342565630 is 3656524311.

11342565630 is a `hidden beast` number, since 1 + 1 + 3 + 42 + 56 + 563 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43272 + ... + 156708.

It is an arithmetic number, because the mean of its divisors is an integer number (338442273).

Almost surely, 211342565630 is an apocalyptic number.

11342565630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245229104).

11342565630 is an abundant number, since it is smaller than the sum of its proper divisors (21147892578).

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

11342565630 is a wasteful number, since it uses less digits than its factorization.

11342565630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113562 (or 113559 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 11342565630 in words is "eleven billion, three hundred forty-two million, five hundred sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2222 3030 3333 4545 5555 6666 9090 9999 11110 16665 19998 33330 49995 99990 113437 226874 340311 567185 680622 1020933 1134370 1247807 1701555 2041866 2495614 3403110 3743421 5104665 6239035 7486842 10209330 11230263 11457137 12478070 18717105 22460526 22914274 34371411 37434210 56151315 57285685 68742822 103114233 112302630 114571370 126028507 171857055 206228466 252057014 343714110 378085521 515571165 630142535 756171042 1031142330 1134256563 1260285070 1890427605 2268513126 3780855210 5671282815 11342565630