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10133685492 = 22372195211741
BaseRepresentation
bin10010111000000001…
…11100010011110100
3222011020022120010220
421130000330103310
5131223210413432
64353320014340
7506056622400
oct113400742364
928136276126
1010133685492
114330223997
121b699013b0
13c565c6608
146c1c02100
153e49b872c
hex25c03c4f4

10133685492 has 144 divisors (see below), whose sum is σ = 29025622080. Its totient is φ = 2736115200.

The previous prime is 10133685491. The next prime is 10133685493. The reversal of 10133685492 is 29458633101.

It is an interprime number because it is at equal distance from previous prime (10133685491) and next prime (10133685493).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133685491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5819742 + ... + 5821482.

It is an arithmetic number, because the mean of its divisors is an integer number (201566820).

Almost surely, 210133685492 is an apocalyptic number.

10133685492 is a gapful number since it is divisible by the number (12) 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 10133685492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512811040).

10133685492 is an abundant number, since it is smaller than the sum of its proper divisors (18891936588).

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

10133685492 is a wasteful number, since it uses less digits than its factorization.

10133685492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10133685492 in words is "ten billion, one hundred thirty-three million, six hundred eighty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 521 532 588 798 931 1042 1563 1596 1741 1862 2084 2793 3126 3482 3647 3724 5223 5586 6252 6964 7294 9899 10446 10941 11172 12187 14588 19798 20892 21882 24374 25529 29697 33079 36561 39596 43764 48748 51058 59394 66158 69293 73122 76587 85309 99237 102116 118788 132316 138586 146244 153174 170618 198474 207879 231553 255927 277172 306348 341236 396948 415758 463106 485051 511854 694659 831516 907061 926212 970102 1023708 1389318 1455153 1620871 1814122 1940204 2721183 2778636 2910306 3241742 3628244 4862613 5442366 5820612 6349427 6483484 9725226 10884732 12698854 17234159 19048281 19450452 25397708 34468318 38096562 44445989 51702477 68936636 76193124 88891978 103404954 120639113 133337967 177783956 206809908 241278226 266675934 361917339 482556452 533351868 723834678 844473791 1447669356 1688947582 2533421373 3377895164 5066842746 10133685492