Search a number
-
+
13552515012480 = 273517415211857
BaseRepresentation
bin1100010100110111000011…
…0101111101011110000000
31202222121102001222021200020
43011031300311331132000
53234021022320344410
644453534530453440
72566064645616513
oct305156065753600
952877361867606
1013552515012480
114355653458354
12162a699a34280
13773cc5930572
1434bd339b6d7a
151877ea853a70
hexc5370d7d780

13552515012480 has 128 divisors (see below), whose sum is σ = 45739738277280. Its totient is φ = 3401415524352.

The previous prime is 13552515012479. The next prime is 13552515012481. The reversal of 13552515012480 is 8421051525531.

13552515012480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13552515012479) and next prime (13552515012481).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552515012481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207573289 + ... + 207638568.

Almost surely, 213552515012480 is an apocalyptic number.

13552515012480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13552515012480 is an abundant number, since it is smaller than the sum of its proper divisors (32187223264800).

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

13552515012480 is a wasteful number, since it uses less digits than its factorization.

13552515012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415211896 (or 415211884 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 13552515012480 in words is "thirteen trillion, five hundred fifty-two billion, five hundred fifteen million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 415211857 830423714 1245635571 1660847428 2076059285 2491271142 3321694856 4152118570 4982542284 6228177855 6643389712 7058601569 8304237140 9965084568 12456355710 13286779424 14117203138 16608474280 19930169136 21175804707 24912711420 26573558848 28234406276 33216948560 35293007845 39860338272 42351609414 49825422840 53147117696 56468812552 66433897120 70586015690 79720676544 84703218828 99650845680 105879023535 112937625104 132867794240 141172031380 159441353088 169406437656 199301691360 211758047070 225875250208 265735588480 282344062760 338812875312 398603382720 423516094140 451750500416 564688125520 677625750624 797206765440 847032188280 903501000832 1129376251040 1355251501248 1694064376560 2258752502080 2710503002496 3388128753120 4517505004160 6776257506240 13552515012480