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2320420430664 = 233371977790201
BaseRepresentation
bin100001110001000011110…
…101011110001101001000
322012211102002102020102000
4201301003311132031020
5301004210112240124
64533553022511000
7326434116140610
oct41610365361510
98184362366360
102320420430664
118150a2926966
12315868135460
1313aa78bb363b
1480447a79a40
154055d2a46c9
hex21c43d5e348

2320420430664 has 128 divisors (see below), whose sum is σ = 7403807980800. Its totient is φ = 659611814400.

The previous prime is 2320420430623. The next prime is 2320420430677. The reversal of 2320420430664 is 4660340240232.

2320420430664 is a `hidden beast` number, since 2 + 320 + 4 + 20 + 4 + 306 + 6 + 4 = 666.

It is a super-3 number, since 3×23204204306643 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3597237 + ... + 4192964.

It is an arithmetic number, because the mean of its divisors is an integer number (57842249850).

Almost surely, 22320420430664 is an apocalyptic number.

2320420430664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2320420430664 is an abundant number, since it is smaller than the sum of its proper divisors (5083387550136).

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

2320420430664 is a wasteful number, since it uses less digits than its factorization.

2320420430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790420 (or 7790410 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 2320420430664 its reverse (4660340240232), we get a palindrome (6980760670896).

The spelling of 2320420430664 in words is "two trillion, three hundred twenty billion, four hundred twenty million, four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 756 788 1182 1379 1512 1576 1773 2364 2758 3546 4137 4728 5319 5516 7092 8274 10638 11032 12411 14184 16548 21276 24822 33096 37233 42552 49644 74466 99288 148932 297864 7790201 15580402 23370603 31160804 46741206 54531407 62321608 70111809 93482412 109062814 140223618 163594221 186964824 210335427 218125628 280447236 327188442 420670854 436251256 490782663 560894472 654376884 841341708 981565326 1308753768 1472347989 1534669597 1682683416 1963130652 2944695978 3069339194 3926261304 4604008791 5889391956 6138678388 9208017582 10742687179 11778783912 12277356776 13812026373 18416035164 21485374358 27624052746 32228061537 36832070328 41436079119 42970748716 55248105492 64456123074 82872158238 85941497432 96684184611 110496210984 128912246148 165744316476 193368369222 257824492296 290052553833 331488632952 386736738444 580105107666 773473476888 1160210215332 2320420430664