Search a number
-
+
245054155504431 = 37133835414332149
BaseRepresentation
bin110111101110000000011101…
…111000111011101100101111
31012010122221121102210212100110
4313232000131320323230233
5224104431402302120211
62225104154102431103
7102421402263336510
oct6756003570735457
91163587542725313
10245054155504431
117109997a262a09
1223599178a32493
13a69767a587480
144472982048a07
151d4e64aab2ea6
hexdee01de3bb2f

245054155504431 has 64 divisors (see below), whose sum is σ = 403935488409600. Its totient is φ = 128683510479360.

The previous prime is 245054155504391. The next prime is 245054155504537. The reversal of 245054155504431 is 134405551450542.

It is not a de Polignac number, because 245054155504431 - 27 = 245054155504303 is a prime.

It is a super-2 number, since 2×2450541555044312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245054155504331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54400345 + ... + 58732493.

It is an arithmetic number, because the mean of its divisors is an integer number (6311492006400).

Almost surely, 2245054155504431 is an apocalyptic number.

245054155504431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

245054155504431 is a deficient number, since it is larger than the sum of its proper divisors (158881332905169).

245054155504431 is a wasteful number, since it uses less digits than its factorization.

245054155504431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333096.

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 245054155504431 in words is "two hundred forty-five trillion, fifty-four billion, one hundred fifty-five million, five hundred four thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 383 541 1149 1623 2681 3787 4979 7033 8043 11361 14937 21099 34853 49231 104559 147693 207203 621609 1450421 2693639 4332149 4351263 8080917 12996447 18855473 30325043 56317937 56566419 90975129 168953811 394225559 1182676677 1659213067 2343692609 4977639201 7031077827 11614491469 16405848263 21569769871 30468003917 34843474407 49217544789 64709309613 91404011751 150988389097 213276027419 452965167291 639828082257 897634269247 2692902807741 6283439884729 11669245500211 18850319654187 35007736500633 81684718501477 245054155504431