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71418061152 = 2533471758719
BaseRepresentation
bin100001010000011011…
…0010010000101100000
320211100020200102002000
41002200312102011200
52132231010424102
652450424524000
75105543334504
oct1024066220540
9224306612060
1071418061152
11283196a7439
1211a11920600
13697217aba9
1436570aa304
151cced7201c
hex10a0d92160

71418061152 has 96 divisors (see below), whose sum is σ = 212734771200. Its totient is φ = 23299496064.

The previous prime is 71418061129. The next prime is 71418061159. The reversal of 71418061152 is 25116081417.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71418061159) 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, 838752 + ... + 919967.

It is an arithmetic number, because the mean of its divisors is an integer number (2215987200).

Almost surely, 271418061152 is an apocalyptic number.

71418061152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71418061152 is an abundant number, since it is smaller than the sum of its proper divisors (141316710048).

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

71418061152 is a wasteful number, since it uses less digits than its factorization.

71418061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758785 (or 1758771 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 71418061152 in words is "seventy-one billion, four hundred eighteen million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 1758719 3517438 5276157 7034876 10552314 14069752 15828471 21104628 28139504 31656942 42209256 47485413 56279008 63313884 82659793 84418512 94970826 126627768 165319586 168837024 189941652 247979379 253255536 330639172 379883304 495958758 506511072 661278344 743938137 759766608 991917516 1322556688 1487876274 1519533216 1983835032 2231814411 2645113376 2975752548 3967670064 4463628822 5951505096 7935340128 8927257644 11903010192 17854515288 23806020384 35709030576 71418061152