Search a number
-
+
201349137906 = 2347964318413
BaseRepresentation
bin1011101110000101011…
…0000000010111110010
3201020201100220222210000
42323201112000113302
511244330334403111
6232255402450430
720355422301450
oct2734126002762
9636640828700
10201349137906
1178434380504
1233033503a16
1315caa9a0027
149a613539d0
155386b1dc56
hex2ee15805f2

201349137906 has 80 divisors (see below), whose sum is σ = 515705724864. Its totient is φ = 57519235296.

The previous prime is 201349137863. The next prime is 201349137923. The reversal of 201349137906 is 609731943102.

201349137906 is a `hidden beast` number, since 201 + 349 + 13 + 7 + 90 + 6 = 666.

It is a super-4 number, since 4×2013491379064 (a number of 46 digits) contains 4444 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10925956 + ... + 10944368.

Almost surely, 2201349137906 is an apocalyptic number.

201349137906 is an abundant number, since it is smaller than the sum of its proper divisors (314356586958).

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

201349137906 is a wasteful number, since it uses less digits than its factorization.

201349137906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28077 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 201349137906 in words is "two hundred one billion, three hundred forty-nine million, one hundred thirty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 9643 18413 19286 28929 36826 55239 57858 67501 86787 110478 128891 135002 165717 173574 202503 257782 260361 331434 386673 405006 497151 520722 607509 773346 781083 994302 1160019 1215018 1491453 1562166 1822527 2320038 2982906 3480057 3645054 5467581 6960114 10440171 10935162 20880342 177556559 355113118 532669677 1065339354 1242895913 1598009031 2485791826 3196018062 3728687739 4794027093 7457375478 9588054186 11186063217 14382081279 22372126434 28764162558 33558189651 67116379302 100674568953 201349137906