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10981802272 = 257237612801
BaseRepresentation
bin10100011101001000…
…10000000100100000
31001100100012100122111
422032210100010200
5134442320133042
65013414045104
7536065531150
oct121644200440
931310170574
1010981802272
114725a39651
122165949794
13106022566c
147626d4760
15444197517
hex28e910120

10981802272 has 96 divisors (see below), whose sum is σ = 25826459904. Its totient is φ = 4494336000.

The previous prime is 10981802269. The next prime is 10981802333. The reversal of 10981802272 is 27220818901.

It is a super-2 number, since 2×109818022722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919272 + ... + 3922072.

It is an arithmetic number, because the mean of its divisors is an integer number (269025624).

Almost surely, 210981802272 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 10981802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913229952).

10981802272 is an abundant number, since it is smaller than the sum of its proper divisors (14844657632).

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

10981802272 is a wasteful number, since it uses less digits than its factorization.

10981802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 10981802272 in words is "ten billion, nine hundred eighty-one million, eight hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 761 1288 1522 2576 2801 3044 5152 5327 5602 6088 10654 11204 12176 17503 19607 21308 22408 24352 35006 39214 42616 44816 64423 70012 78428 85232 89632 122521 128846 140024 156856 170464 245042 257692 280048 313712 450961 490084 515384 560096 627424 901922 980168 1030768 1803844 1960336 2061536 2131561 3607688 3920672 4263122 7215376 8526244 14430752 14920927 17052488 29841854 34104976 49025903 59683708 68209952 98051806 119367416 196103612 238734832 343181321 392207224 477469664 686362642 784414448 1372725284 1568828896 2745450568 5490901136 10981802272