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11740466920 = 23571314921647
BaseRepresentation
bin10101110111100100…
…10100111011101000
31010022012202111220011
422323302110323220
5143021024420140
65220554541304
7563640215350
oct127362247350
933265674804
1011740466920
114a85207626
122337a37834
131151464c60
147d537db60
1548aaa6cea
hex2bbc94ee8

11740466920 has 128 divisors (see below), whose sum is σ = 32731776000. Its totient is φ = 3690556416.

The previous prime is 11740466893. The next prime is 11740466921. The reversal of 11740466920 is 2966404711.

It is a super-2 number, since 2×117404669202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11740466921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531537 + ... + 553183.

It is an arithmetic number, because the mean of its divisors is an integer number (255717000).

Almost surely, 211740466920 is an apocalyptic number.

11740466920 is a gapful number since it is divisible by the number (10) 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 11740466920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365888000).

11740466920 is an abundant number, since it is smaller than the sum of its proper divisors (20991309080).

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

11740466920 is a wasteful number, since it uses less digits than its factorization.

11740466920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21827 (or 21823 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 11740466920 in words is "eleven billion, seven hundred forty million, four hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 149 182 260 280 298 364 455 520 596 728 745 910 1043 1192 1490 1820 1937 2086 2980 3640 3874 4172 5215 5960 7748 8344 9685 10430 13559 15496 19370 20860 21647 27118 38740 41720 43294 54236 67795 77480 86588 108235 108472 135590 151529 173176 216470 271180 281411 303058 432940 542360 562822 606116 757645 865880 1125644 1212232 1407055 1515290 1969877 2251288 2814110 3030580 3225403 3939754 5628220 6061160 6450806 7879508 9849385 11256440 12901612 15759016 16127015 19698770 22577821 25803224 32254030 39397540 41930239 45155642 64508060 78795080 83860478 90311284 112889105 129016120 167720956 180622568 209651195 225778210 293511673 335441912 419302390 451556420 587023346 838604780 903112840 1174046692 1467558365 1677209560 2348093384 2935116730 5870233460 11740466920