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135955955448 = 2332173384343
BaseRepresentation
bin111111010011110011…
…0110011111011111000
3110222221000010010112100
41332213212303323320
54211414211033243
6142242435543400
712552054360645
oct1764746637370
9428830103470
10135955955448
1152727657665
122242345ab60
13ca88abbb21
14681a4d0dcc
15380ab9b0d3
hex1fa79b3ef8

135955955448 has 96 divisors (see below), whose sum is σ = 391223757600. Its totient is φ = 42652737792.

The previous prime is 135955955417. The next prime is 135955955449. The reversal of 135955955448 is 844559559531.

135955955448 is a `hidden beast` number, since 1 + 3 + 5 + 95 + 59 + 55 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135955955449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161565 + ... + 545907.

It is an arithmetic number, because the mean of its divisors is an integer number (4075247475).

Almost surely, 2135955955448 is an apocalyptic number.

135955955448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135955955448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195611878800).

135955955448 is an abundant number, since it is smaller than the sum of its proper divisors (255267802152).

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

135955955448 is a wasteful number, since it uses less digits than its factorization.

135955955448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384406 (or 384365 counting only the distinct ones).

The product of its digits is 97200000, while the sum is 63.

The spelling of 135955955448 in words is "one hundred thirty-five billion, nine hundred fifty-five million, nine hundred fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 4913 5202 6936 9826 10404 14739 19652 20808 29478 39304 44217 58956 88434 117912 176868 353736 384343 768686 1153029 1537372 2306058 3074744 3459087 4612116 6533831 6918174 9224232 13067662 13836348 19601493 26135324 27672696 39202986 52270648 58804479 78405972 111075127 117608958 156811944 222150254 235217916 333225381 444300508 470435832 666450762 888601016 999676143 1332901524 1888277159 1999352286 2665803048 3776554318 3998704572 5664831477 7553108636 7997409144 11329662954 15106217272 16994494431 22659325908 33988988862 45318651816 67977977724 135955955448