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136632426440 = 2352326457109
BaseRepresentation
bin111111100111111101…
…1010101111111001000
3111001200011000102021112
41333033323111333020
54214310400121230
6142433523025452
712604610314406
oct1771773257710
9431604012245
10136632426440
1152a444962a4
1222591b0b288
13cb65cb0713
1468822a2476
15384a271d95
hex1fcfed5fc8

136632426440 has 48 divisors (see below), whose sum is σ = 321370364700. Its totient is φ = 52276746368.

The previous prime is 136632426439. The next prime is 136632426523. The reversal of 136632426440 is 44624236631.

It can be written as a sum of positive squares in 2 ways, for example, as 128176888324 + 8455538116 = 358018^2 + 91954^2 .

It is a super-3 number, since 3×1366324264403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3207395 + ... + 3249714.

Almost surely, 2136632426440 is an apocalyptic number.

136632426440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136632426440 is an abundant number, since it is smaller than the sum of its proper divisors (184737938260).

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

136632426440 is a wasteful number, since it uses less digits than its factorization.

136632426440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457166 (or 6457139 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 136632426440 in words is "one hundred thirty-six billion, six hundred thirty-two million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 6457109 12914218 25828436 32285545 51656872 64571090 129142180 148513507 258284360 297027014 594054028 742567535 1188108056 1485135070 2970270140 3415810661 5940540280 6831621322 13663242644 17079053305 27326485288 34158106610 68316213220 136632426440