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61262632240 = 2452938516857
BaseRepresentation
bin111001000011100010…
…011001010100110000
312212010111110011120021
4321003202121110300
52000431213212430
644051010453224
74266100532155
oct710342312460
9185114404507
1061262632240
1123a88182387
12ba58894214
135a14210764
142d7244822c
1518d851107a
hexe43899530

61262632240 has 80 divisors (see below), whose sum is σ = 147406949280. Its totient is φ = 23650457600.

The previous prime is 61262632183. The next prime is 61262632243. The reversal of 61262632240 is 4223626216.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×612626322402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61262632196 and 61262632205.

It is not an unprimeable number, because it can be changed into a prime (61262632243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8930892 + ... + 8937748.

It is an arithmetic number, because the mean of its divisors is an integer number (1842586866).

Almost surely, 261262632240 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 61262632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73703474640).

61262632240 is an abundant number, since it is smaller than the sum of its proper divisors (86144317040).

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

61262632240 is a wasteful number, since it uses less digits than its factorization.

61262632240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 61262632240 in words is "sixty-one billion, two hundred sixty-two million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3851 6857 7702 13714 15404 19255 27428 30808 34285 38510 54856 61616 68570 77020 109712 111679 137140 154040 198853 223358 274280 308080 397706 446716 548560 558395 795412 893432 994265 1116790 1590824 1786864 1988530 2233580 3181648 3977060 4467160 7954120 8934320 15908240 26406307 52812614 105625228 132031535 211250456 264063070 422500912 528126140 765782903 1056252280 1531565806 2112504560 3063131612 3828914515 6126263224 7657829030 12252526448 15315658060 30631316120 61262632240