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1113455105406 = 23473143737243
BaseRepresentation
bin10000001100111111000…
…110001001010101111110
310221110000121012221110000
4100030333012021111332
5121220324001333111
62211303023055130
7143305312144050
oct20147706112576
93843017187400
101113455105406
1139a239419916
1215b965a414a6
1380cc95436c7
143bc6a45d8d0
151de6bd4dc56
hex1033f18957e

1113455105406 has 160 divisors (see below), whose sum is σ = 2944447469568. Its totient is φ = 307754873280.

The previous prime is 1113455105393. The next prime is 1113455105407. The reversal of 1113455105406 is 6045015543111.

1113455105406 is a `hidden beast` number, since 1 + 1 + 134 + 5 + 510 + 5 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113455105407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153724821 + ... + 153732063.

Almost surely, 21113455105406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113455105406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472223734784).

1113455105406 is an abundant number, since it is smaller than the sum of its proper divisors (1830992364162).

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

1113455105406 is a wasteful number, since it uses less digits than its factorization.

1113455105406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1113455105406 in words is "one trillion, one hundred thirteen billion, four hundred fifty-five million, one hundred five thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1674 1953 2511 3906 4373 5022 5859 7243 8746 11718 13119 14486 17577 21729 26238 30611 35154 39357 43458 50701 61222 65187 78714 91833 101402 118071 130374 135563 152103 183666 195561 224533 236142 271126 275499 304206 354213 391122 406689 449066 456309 550998 586683 673599 708426 813378 826497 912618 948941 1173366 1220067 1347198 1368927 1571731 1652994 1897882 2020797 2440134 2479491 2737854 2846823 3143462 3660201 4041594 4106781 4715193 4958982 5693646 6062391 7320402 8213562 8540469 9430386 10980603 12124782 14145579 17080938 18187173 21961206 25621407 28291158 31673639 36374346 42436737 51242814 63347278 76864221 84873474 95020917 127310211 153728442 190041834 221715473 254620422 285062751 443430946 570125502 665146419 855188253 981882809 1330292838 1710376506 1963765618 1995439257 2565564759 2945648427 3990878514 5131129518 5891296854 5986317771 6873179663 8836945281 11972635542 13746359326 17673890562 17958953313 20619538989 26510835843 35917906626 41239077978 53021671686 61858616967 79532507529 123717233934 159065015058 185575850901 371151701802 556727552703 1113455105406