Search a number
-
+
71319993024 = 263771747401
BaseRepresentation
bin100001001101100000…
…0001011101011000000
320211002102011000220010
41002123000023223000
52132030404234044
652433002544520
75103242636550
oct1023300135300
9224072130803
1071319993024
11282793053a5
12119a4b08140
136957a62807
14364805d160
151cc644ebb9
hex109b00bac0

71319993024 has 112 divisors (see below), whose sum is σ = 218695804416. Its totient is φ = 20090112000.

The previous prime is 71319993007. The next prime is 71319993029. The reversal of 71319993024 is 42039991317.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71319993029) by changing a digit.

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, 278277 + ... + 469124.

Almost surely, 271319993024 is an apocalyptic number.

It is an amenable number.

71319993024 is an abundant number, since it is smaller than the sum of its proper divisors (147375811392).

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

71319993024 is a wasteful number, since it uses less digits than its factorization.

71319993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747494 (or 747484 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 71319993024 in words is "seventy-one billion, three hundred nineteen million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2982 3408 3976 4544 5964 6816 7952 11928 13632 15904 23856 31808 47712 95424 747401 1494802 2242203 2989604 4484406 5231807 5979208 8968812 10463614 11958416 15695421 17937624 20927228 23916832 31390842 35875248 41854456 47833664 53065471 62781684 71750496 83708912 106130942 125563368 143500992 159196413 167417824 212261884 251126736 318392826 334835648 371458297 424523768 502253472 636785652 742916594 849047536 1004506944 1114374891 1273571304 1485833188 1698095072 2228749782 2547142608 2971666376 3396190144 4457499564 5094285216 5943332752 8914999128 10188570432 11886665504 17829998256 23773331008 35659996512 71319993024