Search a number
-
+
2429397640197 = 3211173739013307
BaseRepresentation
bin100011010110100011011…
…000100010010000000101
322121020200220021002000200
4203112203120202100011
5304300401243441242
65100014434401113
7340342511136633
oct43264330422005
98536626232020
102429397640197
118573356a73a0
12332a00430199
13148125523a88
148582509c353
15432da6b804c
hex235a3622405

2429397640197 has 48 divisors (see below), whose sum is σ = 4162876016832. Its totient is φ = 1348299855360.

The previous prime is 2429397640133. The next prime is 2429397640199. The reversal of 2429397640197 is 7910467939242.

2429397640197 is a `hidden beast` number, since 2 + 42 + 9 + 39 + 76 + 401 + 97 = 666.

It is not a de Polignac number, because 2429397640197 - 26 = 2429397640133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429397640199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19444383 + ... + 19568924.

It is an arithmetic number, because the mean of its divisors is an integer number (86726583684).

Almost surely, 22429397640197 is an apocalyptic number.

It is an amenable number.

2429397640197 is a deficient number, since it is larger than the sum of its proper divisors (1733478376635).

2429397640197 is a wasteful number, since it uses less digits than its factorization.

2429397640197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39013378 (or 39013375 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2429397640197 in words is "two trillion, four hundred twenty-nine billion, three hundred ninety-seven million, six hundred forty thousand, one hundred ninety-seven".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 20757 62271 39013307 117039921 351119763 429146377 663226219 1287439131 1443492359 1989678657 3862317393 4330477077 5969035971 7295488409 12991431231 15878415949 21886465227 24539370103 47635247847 65659395681 73618110309 142905743541 220854330927 269933071133 809799213399 2429397640197