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993386135412 = 2232112415562197
BaseRepresentation
bin11100111010010100110…
…11010111111101110100
310111222002210021021220100
432131022123113331310
5112233423322313122
62040204424234100
7131525014554666
oct16351233277564
93458083237810
10993386135412
11353324637600
1214063700b930
13728a2c8b5b8
1436119cc2536
151ac90cc2aac
hexe74a6d7f74

993386135412 has 108 divisors (see below), whose sum is σ = 2827409860548. Its totient is φ = 293683948800.

The previous prime is 993386135389. The next prime is 993386135449. The reversal of 993386135412 is 214531683399.

993386135412 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 8 + 613 + 5 + 4 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138267960336 + 855118175076 = 371844^2 + 924726^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2602503 + ... + 2959694.

It is an arithmetic number, because the mean of its divisors is an integer number (26179720931).

Almost surely, 2993386135412 is an apocalyptic number.

It is an amenable number.

993386135412 is an abundant number, since it is smaller than the sum of its proper divisors (1834023725136).

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

993386135412 is a wasteful number, since it uses less digits than its factorization.

993386135412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562270 (or 5562254 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 993386135412 in words is "nine hundred ninety-three billion, three hundred eighty-six million, one hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 121 123 132 164 198 242 246 363 369 396 451 484 492 726 738 902 1089 1353 1452 1476 1804 2178 2706 4059 4356 4961 5412 8118 9922 14883 16236 19844 29766 44649 59532 89298 178596 5562197 11124394 16686591 22248788 33373182 50059773 61184167 66746364 100119546 122368334 183552501 200239092 228050077 244736668 367105002 456100154 550657503 673025837 684150231 734210004 912200308 1101315006 1346051674 1368300462 2019077511 2052450693 2202630012 2508550847 2692103348 2736600924 4038155022 4104901386 5017101694 6057232533 7525652541 8076310044 8209802772 10034203388 12114465066 15051305082 22576957623 24228930132 27594059317 30102610164 45153915246 55188118634 82782177951 90307830492 110376237268 165564355902 248346533853 331128711804 496693067706 993386135412