Search a number
-
+
71914218432 = 263753507603
BaseRepresentation
bin100001011111001101…
…0111110001111000000
320212121211021210220120
41002332122332033000
52134240014442212
653011551140240
75124046525260
oct1027632761700
9225554253816
1071914218432
1128553779781
1211b2bb14680
136a20bb8b94
1436a2d417a0
151d0d6cb88c
hex10be6be3c0

71914218432 has 56 divisors (see below), whose sum is σ = 217454902656. Its totient is φ = 20546919168.

The previous prime is 71914218421. The next prime is 71914218437. The reversal of 71914218432 is 23481241917.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71914218437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26752458 + ... + 26755145.

Almost surely, 271914218432 is an apocalyptic number.

It is an amenable number.

71914218432 is an abundant number, since it is smaller than the sum of its proper divisors (145540684224).

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

71914218432 is a wasteful number, since it uses less digits than its factorization.

71914218432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53507625 (or 53507615 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The spelling of 71914218432 in words is "seventy-one billion, nine hundred fourteen million, two hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 53507603 107015206 160522809 214030412 321045618 374553221 428060824 642091236 749106442 856121648 1123659663 1284182472 1498212884 1712243296 2247319326 2568364944 2996425768 3424486592 4494638652 5136729888 5992851536 8989277304 10273459776 11985703072 17978554608 23971406144 35957109216 71914218432