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85003174247820 = 22351729127112320149
BaseRepresentation
bin10011010100111101011000…
…000000010111110110001100
3102010222020001100212122110020
4103110331120000113312030
542120143000101412240
6500441530312142140
723622163620415353
oct2324753000276614
9363866040778406
1085003174247820
11250a2709920004
12964a227097950
1338579c374961a
1416dc265b4099a
159c61dab6d0d0
hex4d4f58017d8c

85003174247820 has 384 divisors, whose sum is σ = 262999166976000. Its totient is φ = 20417066385408.

The previous prime is 85003174247807. The next prime is 85003174247869. The reversal of 85003174247820 is 2874247130058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4218719106 + ... + 4218739254.

It is an arithmetic number, because the mean of its divisors is an integer number (684893664000).

Almost surely, 285003174247820 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 85003174247820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131499583488000).

85003174247820 is an abundant number, since it is smaller than the sum of its proper divisors (177995992728180).

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

85003174247820 is a wasteful number, since it uses less digits than its factorization.

85003174247820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21457 (or 21455 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 85003174247820 in words is "eighty-five trillion, three billion, one hundred seventy-four million, two hundred forty-seven thousand, eight hundred twenty".