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10026612064 = 257210216263
BaseRepresentation
bin10010101011010000…
…11111010101100000
3221212202211200000101
421111220133111200
5131013303041224
64334533032144
7503316540100
oct112550372540
927782750011
1010026612064
114285841057
121b39a85654
13c3a377361
146b18cd200
153da3b8044
hex255a1f560

10026612064 has 72 divisors (see below), whose sum is σ = 22988892528. Its totient is φ = 4292225280.

The previous prime is 10026612049. The next prime is 10026612077. The reversal of 10026612064 is 46021662001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597797 + ... + 1604059.

It is an arithmetic number, because the mean of its divisors is an integer number (319290174).

Almost surely, 210026612064 is an apocalyptic number.

10026612064 is a gapful number since it is divisible by the number (14) 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 10026612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494446264).

10026612064 is an abundant number, since it is smaller than the sum of its proper divisors (12962280464).

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

10026612064 is a wasteful number, since it uses less digits than its factorization.

10026612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10026612064 in words is "ten billion, twenty-six million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1021 1568 2042 4084 6263 7147 8168 12526 14294 16336 25052 28588 32672 43841 50029 50104 57176 87682 100058 100208 114352 175364 200116 200416 228704 306887 350728 400232 613774 701456 800464 1227548 1402912 1600928 2455096 4910192 6394523 9820384 12789046 25578092 44761661 51156184 89523322 102312368 179046644 204624736 313331627 358093288 626663254 716186576 1253326508 1432373152 2506653016 5013306032 10026612064