Search a number
-
+
61436510324 = 227172916192749
BaseRepresentation
bin111001001101111001…
…101100000001110100
312212120121122002110022
4321031321230001310
52001310221312244
644120141344312
74303311502310
oct711571540164
9185517562408
1061436510324
1124067343582
12baa6b68098
135a4124ccb7
142d8b58ab40
1518e890a6ee
hexe4de6c074

61436510324 has 96 divisors (see below), whose sum is σ = 134719200000. Its totient is φ = 23903115264.

The previous prime is 61436510299. The next prime is 61436510363. The reversal of 61436510324 is 42301563416.

61436510324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22347302 + ... + 22350050.

It is an arithmetic number, because the mean of its divisors is an integer number (1403325000).

Almost surely, 261436510324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61436510324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359600000).

61436510324 is an abundant number, since it is smaller than the sum of its proper divisors (73282689676).

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

61436510324 is a wasteful number, since it uses less digits than its factorization.

61436510324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 61436510324 in words is "sixty-one billion, four hundred thirty-six million, five hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1619 1972 2749 3238 3451 5498 6476 6902 10996 11333 13804 19243 22666 27523 38486 45332 46733 46951 55046 76972 79721 93466 93902 110092 159442 186932 187804 192661 318884 327131 328657 385322 558047 654262 657314 770644 798167 1116094 1308524 1314628 1355257 1596334 2232188 2710514 3192668 4450631 5421028 5587169 8901262 9486799 11174338 17802524 18973598 22348676 31154417 37947196 62308834 75660727 124617668 129068299 151321454 258136598 302642908 516273196 529625089 903478093 1059250178 1806956186 2118500356 2194161083 3613912372 4388322166 8776644332 15359127581 30718255162 61436510324