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214906239491592 = 2331137217571011217
BaseRepresentation
bin110000110111010011000010…
…000100001001111000001000
31001011220211120100001002221110
4300313103002010021320020
5211132010434302212332
62041022321414010320
763160314645401325
oct6067230204117010
91034824510032843
10214906239491592
1162526251665150
122012a3289469a0
1392bb75756b28c
143b0d735dc9b4c
1519ca31015c4cc
hexc374c2109e08

214906239491592 has 128 divisors (see below), whose sum is σ = 601976942835840. Its totient is φ = 63360044052480.

The previous prime is 214906239491591. The next prime is 214906239491621. The reversal of 214906239491592 is 295194932609412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (214906239491591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212016768 + ... + 213027984.

It is an arithmetic number, because the mean of its divisors is an integer number (4702944865905).

Almost surely, 2214906239491592 is an apocalyptic number.

214906239491592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214906239491592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300988471417920).

214906239491592 is an abundant number, since it is smaller than the sum of its proper divisors (387070703344248).

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

214906239491592 is a wasteful number, since it uses less digits than its factorization.

214906239491592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033031 (or 1033027 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 214906239491592 in words is "two hundred fourteen trillion, nine hundred six billion, two hundred thirty-nine million, four hundred ninety-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 21757 43514 65271 87028 130542 174056 239327 261084 478654 522168 717981 805009 957308 1011217 1435962 1610018 1914616 2022434 2415027 2871924 3033651 3220036 4044868 4830054 5743848 6067302 6440072 8089736 8855099 9660108 11123387 12134604 17710198 19320216 22246774 24269208 26565297 33370161 35420396 37415029 44493548 53130594 66740322 70840792 74830058 88987096 106261188 112245087 133480644 149660116 212522376 224490174 266961288 299320232 411565319 448980348 823130638 897960696 1234695957 1646261276 2469391914 3292522552 4938783828 9877567656 22001048269 44002096538 66003144807 88004193076 132006289614 176008386152 242011530959 264012579228 484023061918 528025158456 726034592877 814038785953 968046123836 1452069185754 1628077571906 1936092247672 2442116357859 2904138371508 3256155143812 4884232715718 5808276743016 6512310287624 8954426645483 9768465431436 17908853290966 19536930862872 26863279936449 35817706581932 53726559872898 71635413163864 107453119745796 214906239491592