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10246981290 = 23571314832531
BaseRepresentation
bin10011000101100010…
…01000011010101010
3222110010111120202120
421202301020122222
5131441211400130
64412444212110
7511633622010
oct114261103252
928403446676
1010246981290
114389176787
121b9b83a036
13c73c13b50
146d2c948b0
153ee8e7910
hex262c486aa

10246981290 has 128 divisors (see below), whose sum is σ = 30300383232. Its totient is φ = 2159688960.

The previous prime is 10246981279. The next prime is 10246981309. The reversal of 10246981290 is 9218964201.

It is a super-2 number, since 2×102469812902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4047325 + ... + 4049855.

It is an arithmetic number, because the mean of its divisors is an integer number (236721744).

Almost surely, 210246981290 is an apocalyptic number.

10246981290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10246981290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150191616).

10246981290 is an abundant number, since it is smaller than the sum of its proper divisors (20053401942).

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

10246981290 is a wasteful number, since it uses less digits than its factorization.

10246981290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044.

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10246981290 in words is "ten billion, two hundred forty-six million, nine hundred eighty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1483 2531 2730 2966 4449 5062 7415 7593 8898 10381 12655 14830 15186 17717 19279 20762 22245 25310 31143 32903 35434 37965 38558 44490 51905 53151 57837 62286 65806 75930 88585 96395 98709 103810 106302 115674 134953 155715 164515 177170 192790 197418 230321 265755 269906 289185 311430 329030 404859 460642 493545 531510 578370 674765 690963 809718 987090 1151605 1349530 1381926 2024295 2303210 3454815 3753473 4048590 6909630 7506946 11260419 18767365 22520838 26274311 37534730 48795149 52548622 56302095 78822933 97590298 112604190 131371555 146385447 157645866 243975745 262743110 292770894 341566043 394114665 487951490 683132086 731927235 788229330 1024698129 1463854470 1707830215 2049396258 3415660430 5123490645 10246981290