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5016931413312 = 263713793634699
BaseRepresentation
bin100100100000001100001…
…1010100010110101000000
3122202121120120120001002010
41021000120122202311000
51124144133420211222
614400425123252520
71025314144254150
oct111003032426500
918677516501063
105016931413312
111664739a9aa25
1269039421a140
132a512cac2220
14134b6c2d0760
158a77dd9b80c
hex490186a2d40

5016931413312 has 224 divisors, whose sum is σ = 16543991296000. Its totient is φ = 1306397693952.

The previous prime is 5016931413281. The next prime is 5016931413359. The reversal of 5016931413312 is 2133141396105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 437062 + ... + 3197637.

It is an arithmetic number, because the mean of its divisors is an integer number (73857104000).

Almost surely, 25016931413312 is an apocalyptic number.

5016931413312 is a gapful number since it is divisible by the number (52) 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 5016931413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271995648000).

5016931413312 is an abundant number, since it is smaller than the sum of its proper divisors (11527059882688).

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

5016931413312 is a wasteful number, since it uses less digits than its factorization.

5016931413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634813 (or 3634803 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 5016931413312 in words is "five trillion, sixteen billion, nine hundred thirty-one million, four hundred thirteen thousand, three hundred twelve".