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82465363596 = 223721154123567
BaseRepresentation
bin100110011001101010…
…0011001011010001100
321212212011010112001210
41030303110121122030
52322342113113341
6101514542534420
75646366011400
oct1146324313214
9255764115053
1082465363596
1131a78603260
1213b95597410
137a12b27b45
143dc4371100
152229b56c16
hex133351968c

82465363596 has 144 divisors (see below), whose sum is σ = 244644890112. Its totient is φ = 21379075200.

The previous prime is 82465363573. The next prime is 82465363613. The reversal of 82465363596 is 69536356428.

It is a super-4 number, since 4×824653635964 (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487405 + ... + 3510971.

It is an arithmetic number, because the mean of its divisors is an integer number (1698922848).

Almost surely, 282465363596 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 82465363596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122322445056).

82465363596 is an abundant number, since it is smaller than the sum of its proper divisors (162179526516).

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

82465363596 is a wasteful number, since it uses less digits than its factorization.

82465363596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24140 (or 24131 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 57.

The spelling of 82465363596 in words is "eighty-two billion, four hundred sixty-five million, three hundred sixty-three thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 541 588 924 1078 1082 1617 1623 2156 2164 3234 3246 3787 5951 6468 6492 7574 11361 11902 15148 17853 22722 23567 23804 26509 35706 41657 45444 47134 53018 70701 71412 79527 83314 94268 106036 124971 141402 159054 164969 166628 249942 259237 282804 291599 318108 329938 494907 499884 518474 583198 659876 777711 874797 989814 1036948 1154783 1166396 1555422 1749594 1814659 1979628 2309566 3110844 3464349 3499188 3629318 4619132 5443977 6928698 7258636 10887954 12702613 12749747 13857396 21775908 25405226 25499494 38107839 38249241 50810452 50998988 76215678 76498482 89248229 140247217 152431356 152996964 178496458 267744687 280494434 356992916 420741651 535489374 560988868 624737603 841483302 981730519 1070978748 1249475206 1682966604 1874212809 1963461038 2498950412 2945191557 3748425618 3926922076 5890383114 6872113633 7496851236 11780766228 13744227266 20616340899 27488454532 41232681798 82465363596