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10071026780 = 2251740173867
BaseRepresentation
bin10010110000100011…
…11010110001011100
3221222212102011112212
421120101322301130
5131111140324110
64343201015552
7504366213053
oct113021726134
927885364485
1010071026780
1142a8917531
121b509245b8
13c46628459
146b777139a
153de23ce05
hex25847ac5c

10071026780 has 48 divisors (see below), whose sum is σ = 22449371616. Its totient is φ = 3781939200.

The previous prime is 10071026773. The next prime is 10071026789. The reversal of 10071026780 is 8762017001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071026789) 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, 99407 + ... + 173273.

It is an arithmetic number, because the mean of its divisors is an integer number (467695242).

Almost surely, 210071026780 is an apocalyptic number.

10071026780 is a gapful number since it is divisible by the number (10) 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 10071026780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224685808).

10071026780 is an abundant number, since it is smaller than the sum of its proper divisors (12378344836).

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

10071026780 is a wasteful number, since it uses less digits than its factorization.

10071026780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74294 (or 74292 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 10071026780 in words is "ten billion, seventy-one million, twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 401 802 1604 2005 4010 6817 8020 13634 27268 34085 68170 73867 136340 147734 295468 369335 738670 1255739 1477340 2511478 5022956 6278695 12557390 25114780 29620667 59241334 118482668 148103335 296206670 503551339 592413340 1007102678 2014205356 2517756695 5035513390 10071026780