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135816186432 = 2632330755477
BaseRepresentation
bin111111001111101000…
…1101000101001000000
3110222120021010010111010
41332133101220221000
54211122420431212
6142220524120520
712545436352053
oct1763721505100
9428507103433
10135816186432
1152665773083
12223a4696140
13ca65b62974
146805b0aa9a
1537ed78d03c
hex1f9f468a40

135816186432 has 56 divisors (see below), whose sum is σ = 374970787776. Its totient is φ = 43303710208.

The previous prime is 135816186419. The next prime is 135816186437. The reversal of 135816186432 is 234681618531.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135816186437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15373323 + ... + 15382154.

Almost surely, 2135816186432 is an apocalyptic number.

135816186432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135816186432 is an abundant number, since it is smaller than the sum of its proper divisors (239154601344).

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

135816186432 is a wasteful number, since it uses less digits than its factorization.

135816186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30755515 (or 30755505 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 135816186432 in words is "one hundred thirty-five billion, eight hundred sixteen million, one hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 30755477 61510954 92266431 123021908 184532862 246043816 369065724 492087632 707375971 738131448 984175264 1414751942 1476262896 1968350528 2122127913 2829503884 2952525792 4244255826 5659007768 5905051584 8488511652 11318015536 16977023304 22636031072 33954046608 45272062144 67908093216 135816186432