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164340630544464 = 243211209214959151
BaseRepresentation
bin100101010111011110001000…
…111001111110000001010000
3210112212210220002212021211100
4211113132020321332001100
5133020024102404410324
61341305013213544400
746421135012143353
oct4527361071760120
9715783802767740
10164340630544464
1148400519655610
12165223947a5100
13709134120263a
142c821b3c1229a
1513eed24a264c9
hex957788e7e050

164340630544464 has 120 divisors (see below), whose sum is σ = 501761008704384. Its totient is φ = 49797800640000.

The previous prime is 164340630544427. The next prime is 164340630544483. The reversal of 164340630544464 is 464445036043461.

164340630544464 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 0 + 6 + 30 + 544 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164340630544464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30659289 + ... + 35618439.

Almost surely, 2164340630544464 is an apocalyptic number.

It is an amenable number.

164340630544464 is an abundant number, since it is smaller than the sum of its proper divisors (337420378159920).

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

164340630544464 is a wasteful number, since it uses less digits than its factorization.

164340630544464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980097 (or 4980088 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 164340630544464 in words is "one hundred sixty-four trillion, three hundred forty billion, six hundred thirty million, five hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 20921 41842 62763 83684 125526 167368 188289 230131 251052 334736 376578 460262 502104 690393 753156 920524 1004208 1380786 1506312 1841048 2071179 2761572 3012624 3682096 4142358 4959151 5523144 8284716 9918302 11046288 14877453 16569432 19836604 29754906 33138864 39673208 44632359 54550661 59509812 79346416 89264718 109101322 119019624 163651983 178529436 218202644 238039248 327303966 357058872 436405288 490955949 654607932 714117744 872810576 981911898 1309215864 1963823796 2618431728 3927647592 7855295184 103750398071 207500796142 311251194213 415001592284 622502388426 830003184568 933753582639 1141254378781 1245004776852 1660006369136 1867507165278 2282508757562 2490009553704 3423763136343 3735014330556 4565017515124 4980019107408 6847526272686 7470028661112 9130035030248 10271289409029 13695052545372 14940057322224 18260070060496 20542578818058 27390105090744 41085157636116 54780210181488 82170315272232 164340630544464