Search a number
-
+
53845794432 = 2732451310357
BaseRepresentation
bin110010001001011101…
…011001111010000000
312010222121100202210200
4302021131121322000
51340234010410212
640423022125200
73614230462263
oct621135317200
9163877322720
1053845794432
1120921602361
12a528a20800
13510174c231
14286b3c2cda
1516023096dc
hexc89759e80

53845794432 has 96 divisors (see below), whose sum is σ = 154996179780. Its totient is φ = 17942888448.

The previous prime is 53845794421. The next prime is 53845794481. The reversal of 53845794432 is 23449754835.

53845794432 is a `hidden beast` number, since 5 + 38 + 4 + 579 + 4 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46335145536 + 7510648896 = 215256^2 + 86664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5193798 + ... + 5204154.

Almost surely, 253845794432 is an apocalyptic number.

It is an amenable number.

53845794432 is an abundant number, since it is smaller than the sum of its proper divisors (101150385348).

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

53845794432 is a wasteful number, since it uses less digits than its factorization.

53845794432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14890 (or 14875 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 53845794432 in words is "fifty-three billion, eight hundred forty-five million, seven hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4513 9026 10357 13539 18052 20714 27078 31071 36104 40617 41428 54156 62142 72208 81234 82856 93213 108312 124284 144416 162468 165712 186426 216624 248568 288832 324936 331424 372852 433248 497136 577664 649872 662848 745704 866496 994272 1299744 1325696 1491408 1732992 1988544 2599488 2982816 3977088 5198976 5965632 11931264 46741141 93482282 140223423 186964564 280446846 373929128 420670269 560893692 747858256 841340538 1121787384 1495716512 1682681076 2243574768 2991433024 3365362152 4487149536 5982866048 6730724304 8974299072 13461448608 17948598144 26922897216 53845794432