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137244167355 = 35172931837213
BaseRepresentation
bin111111111010001100…
…0111100110010111011
3111010020210010002001110
41333310120330302323
54222034001323410
6143014334451403
712626016113541
oct1776430746273
9433223102043
10137244167355
11532288332a9
1222722963b63
13cc3295a3a9
1468dd623d91
153883d0d720
hex1ff463ccbb

137244167355 has 128 divisors (see below), whose sum is σ = 251310366720. Its totient is φ = 63585607680.

The previous prime is 137244167329. The next prime is 137244167383. The reversal of 137244167355 is 553761442731.

It is not a de Polignac number, because 137244167355 - 214 = 137244150971 is a prime.

It is a super-4 number, since 4×1372441673554 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19023729 + ... + 19030941.

It is an arithmetic number, because the mean of its divisors is an integer number (1963362240).

Almost surely, 2137244167355 is an apocalyptic number.

137244167355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137244167355 is a deficient number, since it is larger than the sum of its proper divisors (114066199365).

137244167355 is a wasteful number, since it uses less digits than its factorization.

137244167355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381.

The product of its digits is 2116800, while the sum is 48.

The spelling of 137244167355 in words is "one hundred thirty-seven billion, two hundred forty-four million, one hundred sixty-seven thousand, three hundred fifty-five".

Divisors: 1 3 5 15 17 29 31 51 83 85 87 93 145 155 249 255 415 435 465 493 527 899 1245 1411 1479 1581 2407 2465 2573 2635 2697 4233 4495 7055 7213 7221 7395 7719 7905 12035 12865 13485 15283 21165 21639 36065 36105 38595 40919 43741 45849 74617 76415 108195 122621 122757 131223 204595 209177 218705 223603 223851 229245 367863 373085 598679 613105 613785 627531 656115 670809 1045885 1118015 1119255 1268489 1796037 1839315 2993395 3137655 3354045 3556009 3801251 3805467 6342445 6484487 8980185 10177543 10668027 11403753 17361691 17780045 18559049 19006255 19027335 19453461 30532629 32422435 50887715 52085073 53340135 55677147 57018765 86808455 92795245 97267305 110236279 152663145 260425365 278385735 295148747 315503833 330708837 538212421 551181395 885446241 946511499 1475743735 1577519165 1614637263 1653544185 2691062105 4427231205 4732557495 8073186315 9149611157 27448833471 45748055785 137244167355