Search a number
-
+
9745382017152 = 273219445238579
BaseRepresentation
bin1000110111010000011000…
…0010001000100010000000
31021111122112102120120011100
42031310012002020202000
52234132020244022102
632420544450014400
72024036436243555
oct215640602104200
937448472516140
109745382017152
113117aa20a5a21
121114878877400
13558ca7424102
1425997129ca2c
1511d7769d2a1c
hex8dd06088880

9745382017152 has 96 divisors (see below), whose sum is σ = 29519317854000. Its totient is φ = 3077489051136.

The previous prime is 9745382017123. The next prime is 9745382017177. The reversal of 9745382017152 is 2517102835479.

9745382017152 is a `hidden beast` number, since 9 + 7 + 45 + 382 + 0 + 171 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×97453820171522 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222597402 + ... + 222641177.

Almost surely, 29745382017152 is an apocalyptic number.

It is an amenable number.

9745382017152 is an abundant number, since it is smaller than the sum of its proper divisors (19773935836848).

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

9745382017152 is a wasteful number, since it uses less digits than its factorization.

9745382017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445238618 (or 445238603 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 9745382017152 in words is "nine trillion, seven hundred forty-five billion, three hundred eighty-two million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 445238579 890477158 1335715737 1780954316 2671431474 3561908632 4007147211 5342862948 7123817264 8014294422 8459533001 10685725896 14247634528 16028588844 16919066002 21371451792 25378599003 28495269056 32057177688 33838132004 42742903584 50757198006 56990538112 64114355376 67676264008 76135797009 85485807168 101514396012 128228710752 135352528016 152271594018 170971614336 203028792024 256457421504 270705056032 304543188036 406057584048 512914843008 541410112064 609086376072 812115168096 1082820224128 1218172752144 1624230336192 2436345504288 3248460672384 4872691008576 9745382017152