Search a number
-
+
93424821504 = 283780921481
BaseRepresentation
bin101011100000010001…
…1011010010100000000
322221010221021200000020
41113000203122110000
53012313223242004
6110530242053440
76515103610620
oct1270043322400
9287127250006
1093424821504
1136691970193
121613394a280
138a6b528c91
144743aca880
15266bd888d9
hex15c08da500

93424821504 has 144 divisors (see below), whose sum is σ = 284531667840. Its totient is φ = 26658570240.

The previous prime is 93424821463. The next prime is 93424821521. The reversal of 93424821504 is 40512842439.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4338444 + ... + 4359924.

It is an arithmetic number, because the mean of its divisors is an integer number (1975914360).

Almost surely, 293424821504 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 93424821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142265833920).

93424821504 is an abundant number, since it is smaller than the sum of its proper divisors (191106846336).

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

93424821504 is a wasteful number, since it uses less digits than its factorization.

93424821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22316 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 93424821504 in words is "ninety-three billion, four hundred twenty-four million, eight hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 809 896 1344 1618 1792 2427 2688 3236 4854 5376 5663 6472 9708 11326 12944 16989 19416 21481 22652 25888 33978 38832 42962 45304 51776 64443 67956 77664 85924 90608 103552 128886 135912 150367 155328 171848 181216 207104 257772 271824 300734 310656 343696 362432 451101 515544 543648 601468 621312 687392 724864 902202 1031088 1087296 1202936 1374784 1449728 1804404 2062176 2174592 2405872 2749568 3608808 4124352 4349184 4811744 5499136 7217616 8248704 9623488 14435232 16497408 17378129 19246976 28870464 34756258 38493952 52134387 57740928 69512516 104268774 115481856 121646903 139025032 208537548 243293806 278050064 364940709 417075096 486587612 556100128 729881418 834150192 973175224 1112200256 1459762836 1668300384 1946350448 2224400512 2919525672 3336600768 3892700896 4448801024 5839051344 6673201536 7785401792 11678102688 13346403072 15570803584 23356205376 31141607168 46712410752 93424821504