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13387000380 = 22351324333049
BaseRepresentation
bin11000111011110110…
…10110101000111100
31021112222000002011220
430131323112220330
5204404033003010
610052213513340
7652512424425
oct143573265074
937488002156
1013387000380
11574a681586
122717342850
131354611300
1490dd0864c
155353e8970
hex31ded6a3c

13387000380 has 144 divisors (see below), whose sum is σ = 40695832800. Its totient is φ = 3286573056.

The previous prime is 13387000369. The next prime is 13387000409. The reversal of 13387000380 is 8300078331.

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, 4389096 + ... + 4392144.

It is an arithmetic number, because the mean of its divisors is an integer number (282609950).

Almost surely, 213387000380 is an apocalyptic number.

13387000380 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 13387000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347916400).

13387000380 is an abundant number, since it is smaller than the sum of its proper divisors (27308832420).

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

13387000380 is a wasteful number, since it uses less digits than its factorization.

13387000380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13387000380 in words is "thirteen billion, three hundred eighty-seven million, three hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 433 507 676 780 845 866 1014 1299 1690 1732 2028 2165 2535 2598 3049 3380 4330 5070 5196 5629 6098 6495 8660 9147 10140 11258 12196 12990 15245 16887 18294 22516 25980 28145 30490 33774 36588 39637 45735 56290 60980 67548 73177 79274 84435 91470 112580 118911 146354 158548 168870 182940 198185 219531 237822 292708 337740 365885 396370 439062 475644 515281 594555 731770 792740 878124 1030562 1097655 1189110 1320217 1463540 1545843 2061124 2195310 2378220 2576405 2640434 3091686 3960651 4390620 5152810 5280868 6183372 6601085 7729215 7921302 10305620 13202170 15458430 15842604 17162821 19803255 26404340 30916860 34325642 39606510 51488463 68651284 79213020 85814105 102976926 171628210 205953852 223116673 257442315 343256420 446233346 514884630 669350019 892466692 1029769260 1115583365 1338700038 2231166730 2677400076 3346750095 4462333460 6693500190 13387000380