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83722430064 = 24371319167223
BaseRepresentation
bin100110111111000111…
…1101110011001110000
322000002202112010002010
41031332033232121300
52332430420230224
6102243410122520
76022501625250
oct1157617563160
9260082463063
1083722430064
1132563146969
1214286580440
137b833acc60
1440a32b7960
1522a01b5e29
hex137e3ee670

83722430064 has 80 divisors (see below), whose sum is σ = 266194406912. Its totient is φ = 22080639744.

The previous prime is 83722430027. The next prime is 83722430069. The reversal of 83722430064 is 46003422738.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83722430069) 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, 9579244 + ... + 9587979.

Almost surely, 283722430064 is an apocalyptic number.

83722430064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83722430064 is an abundant number, since it is smaller than the sum of its proper divisors (182471976848).

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

83722430064 is a wasteful number, since it uses less digits than its factorization.

83722430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19167254 (or 19167248 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 83722430064 in words is "eighty-three billion, seven hundred twenty-two million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 19167223 38334446 57501669 76668892 115003338 134170561 153337784 230006676 249173899 268341122 306675568 402511683 460013352 498347798 536682244 747521697 805023366 920026704 996695596 1073364488 1495043394 1610046732 1744217293 1993391192 2146728976 2990086788 3220093464 3488434586 3986782384 5232651879 5980173576 6440186928 6976869172 10465303758 11960347152 13953738344 20930607516 27907476688 41861215032 83722430064