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71843397984 = 2533142958189
BaseRepresentation
bin100001011101000110…
…0110100000101100000
320212102220000202112000
41002322030310011200
52134113402213414
653000541204000
75122226543541
oct1027214640540
9225386022460
1071843397984
11285177a8286
1211b10260600
136a0c320aa7
1436977884c8
151d0738cb09
hex10ba334160

71843397984 has 96 divisors (see below), whose sum is σ = 209693484000. Its totient is φ = 23930629632.

The previous prime is 71843397953. The next prime is 71843397991. The reversal of 71843397984 is 48979334817.

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

It is a super-2 number, since 2×718433979842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205562 + ... + 1263750.

It is an arithmetic number, because the mean of its divisors is an integer number (2184307125).

Almost surely, 271843397984 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 71843397984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104846742000).

71843397984 is an abundant number, since it is smaller than the sum of its proper divisors (137850086016).

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

71843397984 is a wasteful number, since it uses less digits than its factorization.

71843397984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59637 (or 59623 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 71843397984 in words is "seventy-one billion, eight hundred forty-three million, three hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1429 2858 4287 5716 8574 11432 12861 17148 22864 25722 34296 38583 45728 51444 58189 68592 77166 102888 116378 137184 154332 174567 205776 232756 308664 349134 411552 465512 523701 617328 698268 931024 1047402 1234656 1396536 1571103 1862048 2094804 2793072 3142206 4189608 5586144 6284412 8379216 12568824 16758432 25137648 50275296 83152081 166304162 249456243 332608324 498912486 665216648 748368729 997824972 1330433296 1496737458 1995649944 2245106187 2660866592 2993474916 3991299888 4490212374 5986949832 7982599776 8980424748 11973899664 17960849496 23947799328 35921698992 71843397984