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11429465095224 = 23321167215390191
BaseRepresentation
bin1010011001010010000100…
…1101001111110000111000
31111110122110001222222021100
42212110201031033300320
52444230021031021344
640150342423011400
72256515541232131
oct246244115176070
944418401888240
1011429465095224
113707233098480
121347134899b60
1364ba42370a87
142b7290b02c88
1514c48ec6b569
hexa652134fc38

11429465095224 has 96 divisors (see below), whose sum is σ = 34272887351040. Its totient is φ = 3411780609600.

The previous prime is 11429465095201. The next prime is 11429465095229. The reversal of 11429465095224 is 42259056492411.

It is a happy number.

11429465095224 is a `hidden beast` number, since 1 + 1 + 4 + 29 + 46 + 50 + 9 + 522 + 4 = 666.

It is a super-2 number, since 2×114294650952242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429465095229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107642032 + ... + 107748159.

It is an arithmetic number, because the mean of its divisors is an integer number (357009243240).

Almost surely, 211429465095224 is an apocalyptic number.

It is an amenable number.

11429465095224 is an abundant number, since it is smaller than the sum of its proper divisors (22843422255816).

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

11429465095224 is a wasteful number, since it uses less digits than its factorization.

11429465095224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215390281 (or 215390274 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11429465095224 in words is "eleven trillion, four hundred twenty-nine billion, four hundred sixty-five million, ninety-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 17688 26532 53064 215390191 430780382 646170573 861560764 1292341146 1723121528 1938511719 2369292101 2584682292 3877023438 4738584202 5169364584 7107876303 7754046876 9477168404 14215752606 14431142797 15508093752 18954336808 21323628909 28431505212 28862285594 42647257818 43293428391 56863010424 57724571188 85294515636 86586856782 115449142376 129880285173 158742570767 170589031272 173173713564 259760570346 317485141534 346347427128 476227712301 519521140692 634970283068 952455424602 1039042281384 1269940566136 1428683136903 1904910849204 2857366273806 3809821698408 5714732547612 11429465095224