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11740122420 = 22351321960937
BaseRepresentation
bin10101110111100010…
…00000110100110100
31010022012010000022220
422323301000310310
5143020432404140
65220543322340
7563634252105
oct127361006464
933265100286
1011740122420
114a84aa1814
1223378b03b0
131151374200
147d52d03ac
1548aa39bd0
hex2bbc40d34

11740122420 has 144 divisors (see below), whose sum is σ = 37469557440. Its totient is φ = 2737732608.

The previous prime is 11740122391. The next prime is 11740122451. The reversal of 11740122420 is 2422104711.

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, 162192 + ... + 223128.

It is an arithmetic number, because the mean of its divisors is an integer number (260205260).

Almost surely, 211740122420 is an apocalyptic number.

11740122420 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 11740122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18734778720).

11740122420 is an abundant number, since it is smaller than the sum of its proper divisors (25729435020).

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

11740122420 is a wasteful number, since it uses less digits than its factorization.

11740122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60994 (or 60979 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 11740122420 in words is "eleven billion, seven hundred forty million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 228 247 260 285 338 380 390 494 507 570 676 741 780 845 988 1014 1140 1235 1482 1690 2028 2470 2535 2964 3211 3380 3705 4940 5070 6422 7410 9633 10140 12844 14820 16055 19266 32110 38532 48165 60937 64220 96330 121874 182811 192660 243748 304685 365622 609370 731244 792181 914055 1157803 1218740 1584362 1828110 2315606 2376543 3168724 3473409 3656220 3960905 4631212 4753086 5789015 6946818 7921810 9506172 10298353 11578030 11882715 13893636 15051439 15843620 17367045 20596706 23156060 23765430 30102878 30895059 34734090 41193412 45154317 47530860 51491765 60205756 61790118 69468180 75257195 90308634 102983530 123580236 150514390 154475295 180617268 195668707 205967060 225771585 301028780 308950590 391337414 451543170 587006121 617901180 782674828 903086340 978343535 1174012242 1956687070 2348024484 2935030605 3913374140 5870061210 11740122420