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13824036644 = 221119371034339
BaseRepresentation
bin11001101111111101…
…00000111100100100
31022200102100211020012
430313332200330210
5211302423133034
610203425025352
7666400241555
oct146776407444
938612324205
1013824036644
115954343380
122819785258
1313c401c452
14951d9032c
1555d975cce
hex337fa0f24

13824036644 has 96 divisors (see below), whose sum is σ = 28814822400. Its totient is φ = 5734488960.

The previous prime is 13824036643. The next prime is 13824036671. The reversal of 13824036644 is 44663042831.

It is a super-2 number, since 2×138240366442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824036643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3183827 + ... + 3188165.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 213824036644 is an apocalyptic number.

It is an amenable number.

13824036644 is an abundant number, since it is smaller than the sum of its proper divisors (14990785756).

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

13824036644 is a wasteful number, since it uses less digits than its factorization.

13824036644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 13824036644 in words is "thirteen billion, eight hundred twenty-four million, thirty-six thousand, six hundred forty-four".

Divisors: 1 2 4 11 19 22 37 38 44 74 76 103 148 206 209 407 412 418 703 814 836 1133 1406 1628 1957 2266 2812 3811 3914 4339 4532 7622 7733 7828 8678 15244 15466 17356 21527 30932 41921 43054 47729 72409 82441 83842 86108 95458 144818 160543 164882 167684 190916 289636 321086 329764 446917 642172 796499 893834 906851 1592998 1765973 1787668 1813702 3050317 3185996 3531946 3627404 4916087 6100634 7063892 8491423 9832174 12201268 16535929 16982846 19664348 33071858 33553487 33965692 66143716 67106974 93405653 134213948 181895219 186811306 314182651 363790438 373622612 628365302 727580876 1256730604 3456009161 6912018322 13824036644