Search a number
-
+
61906526352 = 243211127930557
BaseRepresentation
bin111001101001111010…
…101010000010010000
312220210101001101020100
4321221322222002100
52003241032320402
644234531412400
74321046535366
oct715172520220
9186711041210
1061906526352
1124288690580
12bbb8454100
135ab77374a8
142dd3b79636
151924cee71c
hexe69eaa090

61906526352 has 120 divisors (see below), whose sum is σ = 189156464640. Its totient is φ = 18744272640.

The previous prime is 61906526333. The next prime is 61906526399. The reversal of 61906526352 is 25362560916.

61906526352 is a `hidden beast` number, since 6 + 1 + 9 + 0 + 6 + 5 + 2 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61906526298 and 61906526307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010658 + ... + 2041214.

It is an arithmetic number, because the mean of its divisors is an integer number (1576303872).

Almost surely, 261906526352 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 61906526352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94578232320).

61906526352 is an abundant number, since it is smaller than the sum of its proper divisors (127249938288).

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

61906526352 is a wasteful number, since it uses less digits than its factorization.

61906526352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31861 (or 31852 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 61906526352 in words is "sixty-one billion, nine hundred six million, five hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1279 1584 2558 3837 5116 7674 10232 11511 14069 15348 20464 23022 28138 30557 30696 42207 46044 56276 61114 61392 84414 91671 92088 112552 122228 126621 168828 183342 184176 225104 244456 253242 275013 336127 337656 366684 488912 506484 550026 672254 675312 733368 1008381 1012968 1100052 1344508 1466736 2016762 2025936 2200104 2689016 3025143 4033524 4400208 5378032 6050286 8067048 12100572 16134096 24201144 39082403 48402288 78164806 117247209 156329612 234494418 312659224 351741627 429906433 468988836 625318448 703483254 859812866 937977672 1289719299 1406966508 1719625732 1875955344 2579438598 2813933016 3439251464 3869157897 5158877196 5627866032 6878502928 7738315794 10317754392 15476631588 20635508784 30953263176 61906526352