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12406177986774 = 231113191315809327
BaseRepresentation
bin1011010010001000100111…
…0101001111100011010110
31121221000111212121201102020
42310202021311033203112
53111230323031034044
642215153001554010
72420213440643535
oct264421165174326
947830455551366
1012406177986774
113a534810550a0
121484497aa5906
136bcb88c443b0
1430c66848231c
15167aa6dada19
hexb4889d4f8d6

12406177986774 has 128 divisors (see below), whose sum is σ = 30918637854720. Its totient is φ = 3262517481600.

The previous prime is 12406177986749. The next prime is 12406177986823. The reversal of 12406177986774 is 47768977160421.

12406177986774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12406177986699 and 12406177986708.

It is a congruent 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, 769102 + ... + 5040225.

It is an arithmetic number, because the mean of its divisors is an integer number (241551858240).

Almost surely, 212406177986774 is an apocalyptic number.

12406177986774 is an abundant number, since it is smaller than the sum of its proper divisors (18512459867946).

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

12406177986774 is a wasteful number, since it uses less digits than its factorization.

12406177986774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809506.

The product of its (nonzero) digits is 199148544, while the sum is 69.

The spelling of 12406177986774 in words is "twelve trillion, four hundred six billion, one hundred seventy-seven million, nine hundred eighty-six thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 131 143 209 247 262 286 393 418 429 494 627 741 786 858 1254 1441 1482 1703 2489 2717 2882 3406 4323 4978 5109 5434 7467 8151 8646 10218 14934 16302 18733 27379 32357 37466 54758 56199 64714 82137 97071 112398 164274 194142 355927 711854 1067781 2135562 5809327 11618654 17427981 34855962 63902597 75521251 110377213 127805194 151042502 191707791 220754426 226563753 331131639 383415582 453127506 662263278 761021837 830733761 1214149343 1434903769 1522043674 1661467522 2283065511 2428298686 2492201283 2869807538 3642448029 4304711307 4566131022 4984402566 7284896058 8371240207 8609422614 9893283881 14459414903 15783941459 16742480414 19786567762 25113720621 28918829806 29679851643 31567882918 43378244709 47351824377 50227441242 59359703286 86756489418 94703648754 108826122691 159053563933 187972393739 217652245382 318107127866 326478368073 375944787478 477160691799 563917181217 652956736146 954321383598 1127834362434 2067696331129 4135392662258 6203088993387 12406177986774