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9742999168 = 27743252881
BaseRepresentation
bin10010001001011101…
…00101111010000000
3221011000011122021001
421010232211322000
5124423201433133
64250442141344
7463304061250
oct110456457200
927130148231
109742999168
11414a73a531
121a7aab1854
13bc3696386
14685d83960
153c054487d
hex244ba5e80

9742999168 has 64 divisors (see below), whose sum is σ = 22698688320. Its totient is φ = 4078448640.

The previous prime is 9742999139. The next prime is 9742999213. The reversal of 9742999168 is 8619992479.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87913 + ... + 164968.

It is an arithmetic number, because the mean of its divisors is an integer number (354667005).

Almost surely, 29742999168 is an apocalyptic number.

It is an amenable number.

9742999168 is an abundant number, since it is smaller than the sum of its proper divisors (12955689152).

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

9742999168 is a wasteful number, since it uses less digits than its factorization.

9742999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252945 (or 252933 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 64.

The square root of 9742999168 is about 98706.6318339350. The cubic root of 9742999168 is about 2135.8178993481.

It can be divided in two parts, 9742 and 999168, that added together give a triangular number (1008910 = T1420).

The spelling of 9742999168 in words is "nine billion, seven hundred forty-two million, nine hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 19264 38528 252881 505762 1011524 1770167 2023048 3540334 4046096 7080668 8092192 10873883 14161336 16184384 21747766 28322672 32368768 43495532 56645344 76117181 86991064 113290688 152234362 173982128 226581376 304468724 347964256 608937448 695928512 1217874896 1391857024 2435749792 4871499584 9742999168