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38435500223424 = 263326598365087
BaseRepresentation
bin10001011110100111101100…
…10101100110101111000000
312001002101202002120201211000
420233103312111212233000
520014211401024122144
6213425005224252000
711044605345260223
oct1057236625465700
9161071662521730
1038435500223424
1111279449956a07
124389083311000
13185a5b53c80b5
1496c40690b5ba
15469be0077769
hex22f4f6566bc0

38435500223424 has 112 divisors (see below), whose sum is σ = 113035761126400. Its totient is φ = 12807013586688.

The previous prime is 38435500223389. The next prime is 38435500223437. The reversal of 38435500223424 is 42432200553483.

38435500223424 is a `hidden beast` number, since 3 + 8 + 43 + 550 + 0 + 2 + 2 + 34 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38435500223424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412209 + ... + 8777295.

It is an arithmetic number, because the mean of its divisors is an integer number (1009247867200).

Almost surely, 238435500223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38435500223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56517880563200).

38435500223424 is an abundant number, since it is smaller than the sum of its proper divisors (74600260902976).

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

38435500223424 is a wasteful number, since it uses less digits than its factorization.

38435500223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367767 (or 8367751 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 38435500223424 in words is "thirty-eight trillion, four hundred thirty-five billion, five hundred million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2659 5318 7977 10636 15954 21272 23931 31908 42544 47862 63816 71793 85088 95724 127632 143586 170176 191448 255264 287172 382896 510528 574344 765792 1148688 1531584 2297376 4594752 8365087 16730174 25095261 33460348 50190522 66920696 75285783 100381044 133841392 150571566 200762088 225857349 267682784 301143132 401524176 451714698 535365568 602286264 803048352 903429396 1204572528 1606096704 1806858792 2409145056 3613717584 4818290112 7227435168 14454870336 22242766333 44485532666 66728298999 88971065332 133456597998 177942130664 200184896997 266913195996 355884261328 400369793994 533826391992 600554690991 711768522656 800739587988 1067652783984 1201109381982 1423537045312 1601479175976 2135305567968 2402218763964 3202958351952 4270611135936 4804437527928 6405916703904 9608875055856 12811833407808 19217750111712 38435500223424