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71473131552 = 2531781154001
BaseRepresentation
bin100001010010000100…
…0010111000000100000
320211111002022021110110
41002210020113000200
52132334110202202
652500113131320
75110112410554
oct1024410270040
9224432267413
1071473131552
11283477a0669
1211a28259b40
1369806c0124
143660523864
151cd4aee26c
hex10a4217020

71473131552 has 96 divisors (see below), whose sum is σ = 198901894464. Its totient is φ = 22394880000.

The previous prime is 71473131539. The next prime is 71473131553. The reversal of 71473131552 is 25513137417.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71473131552.

It is not an unprimeable number, because it can be changed into a prime (71473131553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296552 + ... + 1350552.

It is an arithmetic number, because the mean of its divisors is an integer number (2071894734).

Almost surely, 271473131552 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 71473131552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99450947232).

71473131552 is an abundant number, since it is smaller than the sum of its proper divisors (127428762912).

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

71473131552 is a wasteful number, since it uses less digits than its factorization.

71473131552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54842 (or 54834 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

Adding to 71473131552 its reverse (25513137417), we get a palindrome (96986268969).

The spelling of 71473131552 in words is "seventy-one billion, four hundred seventy-three million, one hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 811 816 1622 1632 2433 3244 4866 6488 9732 12976 13787 19464 25952 27574 38928 41361 54001 55148 77856 82722 108002 110296 162003 165444 216004 220592 324006 330888 432008 441184 648012 661776 864016 918017 1296024 1323552 1728032 1836034 2592048 2754051 3672068 5184096 5508102 7344136 11016204 14688272 22032408 29376544 43794811 44064816 87589622 88129632 131384433 175179244 262768866 350358488 525537732 700716976 744511787 1051075464 1401433952 1489023574 2102150928 2233535361 2978047148 4204301856 4467070722 5956094296 8934141444 11912188592 17868282888 23824377184 35736565776 71473131552