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261676542103120 = 24531372851749587
BaseRepresentation
bin111011011111111001010001…
…010101101000111001010000
31021022112000220010202202202001
4323133321101111220321100
5233244302024234244440
62324312313251403344
7106055335440230014
oct7337712125507120
91238460803682661
10261676542103120
117641844213a901
12254228005b3554
13b301cb8680781
1448892d8464544
15203bc19d52b9a
hexedfe51568e50

261676542103120 has 80 divisors (see below), whose sum is σ = 644997314815488. Its totient is φ = 98556465692160.

The previous prime is 261676542103051. The next prime is 261676542103139. The reversal of 261676542103120 is 21301245676162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2616765421031202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425783034 + ... + 1425966553.

Almost surely, 2261676542103120 is an apocalyptic number.

261676542103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261676542103120 is an abundant number, since it is smaller than the sum of its proper divisors (383320772712368).

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

261676542103120 is a wasteful number, since it uses less digits than its factorization.

261676542103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851749668 (or 2851749662 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

Adding to 261676542103120 its reverse (21301245676162), we get a palindrome (282977787779282).

The spelling of 261676542103120 in words is "two hundred sixty-one trillion, six hundred seventy-six billion, five hundred forty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1147 1240 1480 2294 2480 2960 4588 5735 9176 11470 18352 22940 45880 91760 2851749587 5703499174 11406998348 14258747935 22813996696 28517495870 45627993392 57034991740 88404237197 105514734719 114069983480 176808474394 211029469438 228139966960 353616948788 422058938876 442021185985 527573673595 707233897576 844117877752 884042371970 1055147347190 1414467795152 1688235755504 1768084743940 2110294694380 3270956776289 3536169487880 4220589388760 6541913552578 7072338975760 8441178777520 13083827105156 16354783881445 26167654210312 32709567762890 52335308420624 65419135525780 130838271051560 261676542103120