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61879420416 = 2931131237103
BaseRepresentation
bin111001101000010011…
…010000011000000000
312220201111001020212210
4321220103100120000
52003212112423131
644232122422120
74320300252342
oct715023203000
9186644036783
1061879420416
1124274357480
12bbab361940
135ab1c36888
142dd0321292
151922748146
hexe684d0600

61879420416 has 480 divisors, whose sum is σ = 192700594944. Its totient is φ = 17484595200.

The previous prime is 61879420397. The next prime is 61879420417. The reversal of 61879420416 is 61402497816.

It is a super-2 number, since 2×618794204162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61879420417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600771021 + ... + 600771123.

Almost surely, 261879420416 is an apocalyptic number.

61879420416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61879420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96350297472).

61879420416 is an abundant number, since it is smaller than the sum of its proper divisors (130821174528).

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

61879420416 is a wasteful number, since it uses less digits than its factorization.

61879420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 61879420416 in words is "sixty-one billion, eight hundred seventy-nine million, four hundred twenty thousand, four hundred sixteen".