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13607171552 = 2513217891663
BaseRepresentation
bin11001010110000110…
…01111010111100000
31022010022021221020202
430223003033113200
5210331413442202
610130120524332
7661125023042
oct145303172740
938108257222
1013607171552
115852991427
1227790206a8
13138b10b900
1493125ba92
155498d9802
hex32b0cf5e0

13607171552 has 144 divisors (see below), whose sum is σ = 31078494720. Its totient is φ = 5840879616.

The previous prime is 13607171531. The next prime is 13607171561. The reversal of 13607171552 is 25517170631.

13607171552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8181473 + ... + 8183135.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 213607171552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13607171552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539247360).

13607171552 is an abundant number, since it is smaller than the sum of its proper divisors (17471323168).

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

13607171552 is a wasteful number, since it uses less digits than its factorization.

13607171552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 13607171552 in words is "thirteen billion, six hundred seven million, one hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 89 104 136 169 178 208 221 272 338 356 416 442 544 676 712 884 1157 1352 1424 1513 1663 1768 2314 2704 2848 2873 3026 3326 3536 4628 5408 5746 6052 6652 7072 9256 11492 12104 13304 15041 18512 19669 21619 22984 24208 26608 28271 30082 37024 39338 43238 45968 48416 53216 56542 60164 78676 86476 91936 113084 120328 148007 157352 172952 226168 240656 255697 281047 296014 314704 345904 367523 452336 481312 511394 562094 592028 629408 691808 735046 904672 1022788 1124188 1184056 1470092 1924091 2045576 2248376 2368112 2516119 2940184 3848182 4091152 4496752 4736224 4777799 5032238 5880368 7696364 8182304 8993504 9555598 10064476 11760736 15392728 19111196 20128952 25013183 30785456 32709547 38222392 40257904 50026366 61570912 65419094 76444784 80515808 100052732 130838188 152889568 200105464 261676376 400210928 425224111 523352752 800421856 850448222 1046705504 1700896444 3401792888 6803585776 13607171552