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11942111600 = 2452149200371
BaseRepresentation
bin10110001111100111…
…00010100101110000
31010211021012010101122
423013303202211300
5143424140032400
65253000521412
7601636162616
oct130763424560
933737163348
1011942111600
115079013221
122393480268
131184176a33
1481406d6b6
1549d638685
hex2c7ce2970

11942111600 has 60 divisors (see below), whose sum is σ = 28883623800. Its totient is φ = 4744761600.

The previous prime is 11942111569. The next prime is 11942111603. The reversal of 11942111600 is 611124911.

11942111600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119421116002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11942111600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11942111603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40586 + ... + 159785.

It is an arithmetic number, because the mean of its divisors is an integer number (481393730).

Almost surely, 211942111600 is an apocalyptic number.

11942111600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11942111600 is an abundant number, since it is smaller than the sum of its proper divisors (16941512200).

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

11942111600 is a wasteful number, since it uses less digits than its factorization.

11942111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200538 (or 200527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 11942111600 in words is "eleven billion, nine hundred forty-two million, one hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 200371 400742 801484 1001855 1602968 2003710 3205936 4007420 5009275 8014840 10018550 16029680 20037100 29855279 40074200 59710558 80148400 119421116 149276395 238842232 298552790 477684464 597105580 746381975 1194211160 1492763950 2388422320 2985527900 5971055800 11942111600