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83427424704 = 26321311141483
BaseRepresentation
bin100110110110010101…
…0010111100111000000
321222100012102021210200
41031230222113213000
52331324410042304
6102154231125200
76012260260311
oct1155452274700
9258305367720
1083427424704
1132421673a88
1214203813800
137b37240680
144076044608
152284341e39
hex136ca979c0

83427424704 has 84 divisors (see below), whose sum is σ = 257524261176. Its totient is φ = 25669974528.

The previous prime is 83427424697. The next prime is 83427424727. The reversal of 83427424704 is 40742472438.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83427424704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5563254 + ... + 5578229.

It is an arithmetic number, because the mean of its divisors is an integer number (3065765014).

Almost surely, 283427424704 is an apocalyptic number.

It is an amenable number.

83427424704 is an abundant number, since it is smaller than the sum of its proper divisors (174096836472).

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

83427424704 is a wasteful number, since it uses less digits than its factorization.

83427424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11141514 (or 11141501 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 83427424704 in words is "eighty-three billion, four hundred twenty-seven million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 11141483 22282966 33424449 44565932 66848898 89131864 100273347 133697796 144839279 178263728 200546694 267395592 289678558 356527456 401093388 434517837 534791184 579357116 713054912 802186776 869035674 1069582368 1158714232 1303553511 1604373552 1738071348 2139164736 2317428464 2607107022 3208747104 3476142696 4634856928 5214214044 6417494208 6952285392 9269713856 10428428088 13904570784 20856856176 27809141568 41713712352 83427424704