Search a number
-
+
620232137257131 = 33726356401221233
BaseRepresentation
bin1000110100000110010000110…
…0001110000011000010101011
310000100001121120001120011212000
42031001210030032003002223
51122243340404114212011
610035042413233422043
7244433202361364220
oct21501441416030253
93010047501504760
10620232137257131
1116a696a77077113
1259691187a0a923
13208108412089b9
14ad235777dd947
154ba89dba78356
hex234190c3830ab

620232137257131 has 64 divisors (see below), whose sum is σ = 1054144824944640. Its totient is φ = 353062909900800.

The previous prime is 620232137256967. The next prime is 620232137257133. The reversal of 620232137257131 is 131752731232026.

620232137257131 is a `hidden beast` number, since 6 + 2 + 0 + 2 + 3 + 2 + 1 + 3 + 72 + 571 + 3 + 1 = 666.

It is not a de Polignac number, because 620232137257131 - 219 = 620232136732843 is a prime.

It is a super-2 number, since 2×6202321372571312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (620232137257133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803413891 + ... + 2803635123.

It is an arithmetic number, because the mean of its divisors is an integer number (16471012889760).

Almost surely, 2620232137257131 is an apocalyptic number.

620232137257131 is a deficient number, since it is larger than the sum of its proper divisors (433912687687509).

620232137257131 is a wasteful number, since it uses less digits than its factorization.

620232137257131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277913 (or 277907 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 620232137257131 its reverse (131752731232026), we get a palindrome (751984868489157).

The spelling of 620232137257131 in words is "six hundred twenty trillion, two hundred thirty-two billion, one hundred thirty-seven million, two hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 263 789 1841 2367 5523 7101 16569 49707 56401 169203 221233 394807 507609 663699 1184421 1522827 1548631 1991097 3553263 4645893 5973291 10659789 13937679 14833463 41813037 44500389 58184279 103834241 133501167 174552837 311502723 400503501 407289953 523658511 934508169 1221869859 1570975533 2803524507 3665609577 10996828731 12477762433 37433287299 87344337031 112299861897 262033011093 336899585691 786099033279 2358297099837 3281651519879 9844954559637 22971560639153 29534863678911 68914681917459 88604591036733 206744045752377 620232137257131