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11453462322012 = 22324367179616933
BaseRepresentation
bin1010011010101011011110…
…0011011001101101011100
31111112221101111000101211200
42212222313203121231130
53000123142323301022
640205351542515500
72261325321262344
oct246526743315534
944487344011750
1011453462322012
113716427987107
12134b911435b90
13651097c08a59
142b84c9c19d24
1514cde68b0bac
hexa6ab78d9b5c

11453462322012 has 144 divisors (see below), whose sum is σ = 30235293728640. Its totient is φ = 3652849436544.

The previous prime is 11453462322007. The next prime is 11453462322103. The reversal of 11453462322012 is 21022326435411.

It is a happy number.

11453462322012 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 4 + 623 + 2 + 20 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18256698 + ... + 18873630.

It is an arithmetic number, because the mean of its divisors is an integer number (209967317560).

Almost surely, 211453462322012 is an apocalyptic number.

11453462322012 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 11453462322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117646864320).

11453462322012 is an abundant number, since it is smaller than the sum of its proper divisors (18781831406628).

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

11453462322012 is a wasteful number, since it uses less digits than its factorization.

11453462322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617232 (or 617227 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 11453462322012 its reverse (21022326435411), we get a palindrome (32475788757423).

The spelling of 11453462322012 in words is "eleven trillion, four hundred fifty-three billion, four hundred sixty-two million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 67 86 129 134 172 179 201 258 268 358 387 402 516 537 603 716 774 804 1074 1206 1548 1611 2148 2412 2881 3222 5762 6444 7697 8643 11524 11993 15394 17286 23091 23986 25929 30788 34572 35979 46182 47972 51858 69273 71958 92364 103716 107937 138546 143916 215874 277092 431748 515699 616933 1031398 1233866 1547097 1850799 2062796 2467732 3094194 3701598 4641291 5552397 6188388 7403196 9282582 11104794 18565164 22209588 26528119 41334511 53056238 79584357 82669022 106112476 110431007 124003533 159168714 165338044 220862014 238753071 248007066 318337428 331293021 372010599 441724028 477506142 496014132 662586042 744021198 955012284 993879063 1325172084 1488042396 1777383973 1987758126 3554767946 3975516252 4748533301 5332151919 7109535892 7398877469 9497066602 10664303838 14245599903 14797754938 15996455757 18994133204 21328607676 22196632407 28491199806 29595509876 31992911514 42736799709 44393264814 56982399612 63985823028 66589897221 85473599418 88786529628 133179794442 170947198836 266359588884 318151731167 636303462334 954455193501 1272606924668 1908910387002 2863365580503 3817820774004 5726731161006 11453462322012