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135147626832 = 2434643606413
BaseRepresentation
bin111110111011101101…
…1010010000101010000
3110220211200002210010110
41331313123102011100
54203240243024312
6142030322401320
712523040605521
oct1756733220520
9426750083113
10135147626832
1152352348389
1222238800240
13c98a4b107a
146780dd8848
1537aec2b43c
hex1f776d2150

135147626832 has 40 divisors (see below), whose sum is σ = 349207140384. Its totient is φ = 45039432064.

The previous prime is 135147626827. The next prime is 135147626833. The reversal of 135147626832 is 238626741531.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135147626833) 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, 80343 + ... + 526070.

Almost surely, 2135147626832 is an apocalyptic number.

135147626832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135147626832 is an abundant number, since it is smaller than the sum of its proper divisors (214059513552).

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

135147626832 is a wasteful number, since it uses less digits than its factorization.

135147626832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611067 (or 611061 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 135147626832 in words is "one hundred thirty-five billion, one hundred forty-seven million, six hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4643 9286 13929 18572 27858 37144 55716 74288 111432 222864 606413 1212826 1819239 2425652 3638478 4851304 7276956 9702608 14553912 29107824 2815575559 5631151118 8446726677 11262302236 16893453354 22524604472 33786906708 45049208944 67573813416 135147626832