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10261306048 = 267199115099
BaseRepresentation
bin10011000111001111…
…10001101011000000
3222111010110100122011
421203213301223000
5132003343243143
64414115222304
7512166443110
oct114347615300
928433410564
1010261306048
114396270124
121ba45a7994
13c76b8b036
146d4b43040
15400cc6e9d
hex2639f1ac0

10261306048 has 56 divisors (see below), whose sum is σ = 23388320000. Its totient is φ = 4375565568.

The previous prime is 10261305959. The next prime is 10261306061. The reversal of 10261306048 is 84060316201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31603 + ... + 146701.

Almost surely, 210261306048 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 10261306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694160000).

10261306048 is an abundant number, since it is smaller than the sum of its proper divisors (13127013952).

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

10261306048 is a wasteful number, since it uses less digits than its factorization.

10261306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115317 (or 115307 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10261306048 in words is "ten billion, two hundred sixty-one million, three hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 796 1393 1592 2786 3184 5572 6368 11144 12736 22288 44576 89152 115099 230198 460396 805693 920792 1611386 1841584 3222772 3683168 6445544 7366336 12891088 22904701 25782176 45809402 51564352 91618804 160332907 183237608 320665814 366475216 641331628 732950432 1282663256 1465900864 2565326512 5130653024 10261306048