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5173938432 = 283213172741
BaseRepresentation
bin1001101000110010…
…00000100100000000
3111100120200022020100
410310121000210000
541044012012212
62213223242400
7242133515415
oct46431004400
914316608210
105173938432
11221560a583
1210048a9400
13645bbc740
1437121c10c
15204363bdc
hex134640900

5173938432 has 108 divisors (see below), whose sum is σ = 16065351484. Its totient is φ = 1591971840.

The previous prime is 5173938397. The next prime is 5173938467. The reversal of 5173938432 is 2348393715.

5173938432 is a `hidden beast` number, since 517 + 3 + 93 + 8 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5173938397) and next prime (5173938467).

It can be written as a sum of positive squares in 2 ways, for example, as 606341376 + 4567597056 = 24624^2 + 67584^2 .

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, 56419 + ... + 116322.

Almost surely, 25173938432 is an apocalyptic number.

5173938432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5173938432 is an abundant number, since it is smaller than the sum of its proper divisors (10891413052).

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

5173938432 is a wasteful number, since it uses less digits than its factorization.

5173938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172776 (or 172759 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 5173938432 is about 71930.0940636115. The cubic root of 5173938432 is about 1729.5790607169.

It can be divided in two parts, 517393 and 8432, that added together give a triangular number (525825 = T1025).

The spelling of 5173938432 in words is "five billion, one hundred seventy-three million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 172741 345482 518223 690964 1036446 1381928 1554669 2072892 2245633 2763856 3109338 4145784 4491266 5527712 6218676 6736899 8291568 8982532 11055424 12437352 13473798 16583136 17965064 20210697 22110848 24874704 26947596 33166272 35930128 40421394 44221696 49749408 53895192 66332544 71860256 80842788 99498816 107790384 132665088 143720512 161685576 198997632 215580768 287441024 323371152 397995264 431161536 574882048 646742304 862323072 1293484608 1724646144 2586969216 5173938432