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61144345395 = 335780979979
BaseRepresentation
bin111000111100011111…
…001010101100110011
312211211020212120112000
4320330133022230303
52000210423023040
644031143305043
74263133234440
oct707437125463
9184736776460
1061144345395
1123a27430761
12ba2514b183
1359c5866543
142d608569c7
1518cce48130
hexe3c7cab33

61144345395 has 64 divisors (see below), whose sum is σ = 124384896000. Its totient is φ = 27916800768.

The previous prime is 61144345369. The next prime is 61144345411. The reversal of 61144345395 is 59354344116.

61144345395 is a `hidden beast` number, since 61 + 14 + 43 + 4 + 539 + 5 = 666.

It is not a de Polignac number, because 61144345395 - 27 = 61144345267 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 61144345395.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724516 + ... + 804494.

It is an arithmetic number, because the mean of its divisors is an integer number (1943514000).

Almost surely, 261144345395 is an apocalyptic number.

61144345395 is an abundant number, since it is smaller than the sum of its proper divisors (63240550605).

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

61144345395 is a wasteful number, since it uses less digits than its factorization.

61144345395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80809 (or 80803 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 61144345395 in words is "sixty-one billion, one hundred forty-four million, three hundred forty-five thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 809 945 2427 4045 5663 7281 12135 16989 21843 28315 36405 50967 79979 84945 109215 152901 239937 254835 399895 559853 719811 764505 1199685 1679559 2159433 2799265 3599055 5038677 8397795 10797165 15116031 25193385 64703011 75580155 194109033 323515055 452921077 582327099 970545165 1358763231 1746981297 2264605385 2911635495 4076289693 6793816155 8734906485 12228869079 20381448465 61144345395