Search a number
-
+
61724716312 = 2372372115019
BaseRepresentation
bin111001011111000101…
…000110110100011000
312220022200221110202011
4321133011012310120
52002403011410222
644204514515304
74313411301100
oct713705066430
9186280843664
1061724716312
11241a4aa1a46
12bb67595b34
135a88b7b79c
142db7970200
151913d89c77
hexe5f146d18

61724716312 has 72 divisors (see below), whose sum is σ = 138367334700. Its totient is φ = 25738267968.

The previous prime is 61724716241. The next prime is 61724716343. The reversal of 61724716312 is 21361742716.

61724716312 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 17 ways as a sum of consecutive naturals, for example, 479139 + ... + 594157.

Almost surely, 261724716312 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 61724716312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183667350).

61724716312 is an abundant number, since it is smaller than the sum of its proper divisors (76642618388).

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

61724716312 is a wasteful number, since it uses less digits than its factorization.

61724716312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115113 (or 115065 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The spelling of 61724716312 in words is "sixty-one billion, seven hundred twenty-four million, seven hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1369 1813 2072 2738 3626 5476 7252 9583 10952 14504 19166 38332 67081 76664 115019 134162 230038 268324 460076 536648 805133 920152 1610266 3220532 4255703 5635931 6441064 8511406 11271862 17022812 22543724 29789921 34045624 45087448 59579842 119159684 157461011 208529447 238319368 314922022 417058894 629844044 834117788 1102227077 1259688088 1668235576 2204454154 4408908308 7715589539 8817816616 15431179078 30862358156 61724716312