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4087339157564 = 2213193124998627
BaseRepresentation
bin111011011110101000011…
…001100000100000111100
3112110202010200201121102122
4323132220121200200330
51013431332311020224
612405410411142112
7601205034412415
oct73365031404074
915422120647378
104087339157564
111336481441423
125601a1744938
13238585594520
14101b84abc80c
15714c393915e
hex3b7a866083c

4087339157564 has 144 divisors (see below), whose sum is σ = 8396251920000. Its totient is φ = 1725859716480.

The previous prime is 4087339157543. The next prime is 4087339157581. The reversal of 4087339157564 is 4657519337804.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 4087339157497 and 4087339157506.

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, 473780219 + ... + 473788845.

It is an arithmetic number, because the mean of its divisors is an integer number (58307305000).

Almost surely, 24087339157564 is an apocalyptic number.

It is an amenable number.

4087339157564 is an abundant number, since it is smaller than the sum of its proper divisors (4308912762436).

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

4087339157564 is a wasteful number, since it uses less digits than its factorization.

4087339157564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 62.

The spelling of 4087339157564 in words is "four trillion, eighty-seven billion, three hundred thirty-nine million, one hundred fifty-seven thousand, five hundred sixty-four".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 124 247 403 494 499 589 806 961 988 998 1178 1612 1922 1996 2356 3844 6487 7657 8627 9481 12493 12974 15314 15469 17254 18259 18962 24986 25948 30628 30938 34508 36518 37924 49972 61876 73036 112151 123253 163913 201097 224302 237367 246506 267437 293911 327826 402194 448604 474734 479539 493012 534874 587822 655652 804388 949468 959078 1069748 1175644 1918156 2130869 3476681 3820843 4261738 4304873 5081303 6234007 6953362 7641686 8290547 8523476 8609746 9111241 10162606 12468014 13906724 15283372 16581094 17219492 18222482 20325212 24936028 33162188 36444964 55963349 66056939 81792587 107777111 111926698 118446133 132113878 133451063 157520393 163585174 215554222 223853396 236892266 264227756 266902126 315040786 327170348 431108444 473784532 533804252 630081572 1063303631 1734863819 2047765109 2126607262 2535570197 3469727638 4095530218 4136982953 4253214524 5071140394 6939455276 8191060436 8273965906 10142280788 16547931812 32962412561 53780778389 65924825122 78602676107 107561556778 131849650244 157205352214 215123113556 314410704428 1021834789391 2043669578782 4087339157564