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9998113243552 = 257793311706927
BaseRepresentation
bin1001000101111101110111…
…1111010000000110100000
31022101210212200222002112221
42101133131333100012200
52302302113442243202
633133023025200424
72051224365233530
oct221373577200640
938353780862487
109998113243552
1132051a3303a75
12115584ba90114
13576a832b09a5
14267ca87114c0
1512511949e037
hex917ddfd01a0

9998113243552 has 96 divisors (see below), whose sum is σ = 22849347870720. Its totient is φ = 4217882423040.

The previous prime is 9998113243549. The next prime is 9998113243577. The reversal of 9998113243552 is 2553423118999.

9998113243552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5003913 + ... + 6710839.

It is an arithmetic number, because the mean of its divisors is an integer number (238014040320).

Almost surely, 29998113243552 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 9998113243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424673935360).

9998113243552 is an abundant number, since it is smaller than the sum of its proper divisors (12851234627168).

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

9998113243552 is a wasteful number, since it uses less digits than its factorization.

9998113243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707354 (or 1707346 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 61.

The spelling of 9998113243552 in words is "nine trillion, nine hundred ninety-eight billion, one hundred thirteen million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 331 553 632 662 1106 1264 1324 2212 2317 2528 2648 4424 4634 5296 8848 9268 10592 17696 18536 26149 37072 52298 74144 104596 183043 209192 366086 418384 732172 836768 1464344 1706927 2928688 3413854 5857376 6827708 11948489 13655416 23896978 27310832 47793956 54621664 95587912 134847233 191175824 269694466 382351648 539388932 564992837 943930631 1078777864 1129985674 1887861262 2157555728 2259971348 3775722524 3954949859 4315111456 4519942696 7551445048 7909899718 9039885392 15102890096 15819799436 18079770784 30205780192 31639598872 44634434123 63279197744 89268868246 126558395488 178537736492 312441038861 357075472984 624882077722 714150945968 1249764155444 1428301891936 2499528310888 4999056621776 9998113243552