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4296666924 = 22331121971669
BaseRepresentation
bin1000000000001100…
…11110111100101100
3102002102221021222000
410000012132330230
532244421320144
61550204252300
7211322031504
oct40006367454
912072837860
104296666924
1119053a1500
129bab41090
13536223384
142ca8daa04
151a2326769
hex10019ef2c

4296666924 has 144 divisors (see below), whose sum is σ = 12313778400. Its totient is φ = 1294634880.

The previous prime is 4296666901. The next prime is 4296666937.

4296666924 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42966669242 = 36922693311591243552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 2573562 + ... + 2575230.

It is an arithmetic number, because the mean of its divisors is an integer number (85512350).

Almost surely, 24296666924 is an apocalyptic number.

4296666924 is a gapful number since it is divisible by the number (44) 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 4296666924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156889200).

4296666924 is an abundant number, since it is smaller than the sum of its proper divisors (8017111476).

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

4296666924 is a wasteful number, since it uses less digits than its factorization.

4296666924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1882 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 4296666924 is about 65548.9658499659. The cubic root of 4296666924 is about 1625.7130660203.

The spelling of 4296666924 in words is "four billion, two hundred ninety-six million, six hundred sixty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 197 198 242 297 363 394 396 484 591 594 726 788 1089 1182 1188 1452 1669 1773 2167 2178 2364 3267 3338 3546 4334 4356 5007 5319 6501 6534 6676 7092 8668 10014 10638 13002 13068 15021 18359 19503 20028 21276 23837 26004 30042 36718 39006 45063 47674 55077 58509 60084 71511 73436 78012 90126 95348 110154 117018 143022 165231 180252 201949 214533 220308 234036 286044 328793 330462 403898 429066 495693 605847 643599 657586 660924 807796 858132 986379 991386 1211694 1287198 1315172 1817541 1972758 1982772 2423388 2574396 2959137 3616723 3635082 3945516 5452623 5918274 7233446 7270164 8877411 10850169 10905246 11836548 14466892 17754822 21700338 21810492 32550507 35509644 39783953 43400676 65101014 79567906 97651521 119351859 130202028 159135812 195303042 238703718 358055577 390606084 477407436 716111154 1074166731 1432222308 2148333462 4296666924