Search a number
-
+
20346460506153 = 3317103142994957
BaseRepresentation
bin1001010000001010001111…
…00011010000100000101001
32200001002202211000210021000
410220011013203100200221
510131324022342144103
6111135011313105213
74166661154521045
oct450050743204051
980032684023230
1020346460506153
116534981585261
122347344558209
13b478807986b2
14504ab99b1025
152543d12caaa3
hex1281478d0829

20346460506153 has 32 divisors (see below), whose sum is σ = 31946973592320. Its totient is φ = 12754023747840.

The previous prime is 20346460506101. The next prime is 20346460506181. The reversal of 20346460506153 is 35160506464302.

20346460506153 is a `hidden beast` number, since 2 + 0 + 34 + 6 + 4 + 60 + 506 + 1 + 53 = 666.

It is not a de Polignac number, because 20346460506153 - 212 = 20346460502057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20346460506099 and 20346460506108.

It is not an unprimeable number, because it can be changed into a prime (20346460505153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21024250 + ... + 21970707.

It is an arithmetic number, because the mean of its divisors is an integer number (998342924760).

Almost surely, 220346460506153 is an apocalyptic number.

It is an amenable number.

20346460506153 is a deficient number, since it is larger than the sum of its proper divisors (11600513086167).

20346460506153 is a wasteful number, since it uses less digits than its factorization.

20346460506153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42996014 (or 42996008 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 20346460506153 in words is "twenty trillion, three hundred forty-six billion, four hundred sixty million, five hundred six thousand, one hundred fifty-three".

Divisors: 1 3 9 17 27 51 153 459 1031 3093 9279 17527 27837 52581 157743 473229 42994957 128984871 386954613 730914269 1160863839 2192742807 6578228421 19734685263 44327800667 132983402001 398950206003 753572611339 1196850618009 2260717834017 6782153502051 20346460506153