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10642017700 = 2252372876221
BaseRepresentation
bin10011110100101000…
…00100110110100100
31000110122211111211201
421322110010312210
5133243324031300
64515555212244
7524501441446
oct117224046644
930418744751
1010642017700
114571161456
12208bba7084
131007a080c2
1472d526496
1542442a66a
hex27a504da4

10642017700 has 36 divisors (see below), whose sum is σ = 23717326612. Its totient is φ = 4141756800.

The previous prime is 10642017677. The next prime is 10642017703. The reversal of 10642017700 is 771024601.

It can be written as a sum of positive squares in 6 ways, for example, as 271854144 + 10370163556 = 16488^2 + 101834^2 .

It is a super-2 number, since 2×106420177002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642017703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1434411 + ... + 1441810.

Almost surely, 210642017700 is an apocalyptic number.

10642017700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642017700 is an abundant number, since it is smaller than the sum of its proper divisors (13075308912).

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

10642017700 is a wasteful number, since it uses less digits than its factorization.

10642017700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876272 (or 2876265 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 10642017700 in words is "ten billion, six hundred forty-two million, seventeen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 2876221 5752442 11504884 14381105 28762210 57524420 71905525 106420177 143811050 212840354 287622100 425680708 532100885 1064201770 2128403540 2660504425 5321008850 10642017700