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234462608210680 = 235173116301682321
BaseRepresentation
bin110101010011111000010100…
…011110011011101011111000
31010202011101222021222112011021
4311103320110132123223320
5221212413410200220210
62150354345114112224
7100246236000644503
oct6523702436335370
91122141867875137
10234462608210680
11687860409a8743
122236851111b674
13a0a9962a4b2a5
1441c809d50413a
151c18d9ce22bda
hexd53e1479baf8

234462608210680 has 128 divisors (see below), whose sum is σ = 576627374568960. Its totient is φ = 85415546880000.

The previous prime is 234462608210659. The next prime is 234462608210681. The reversal of 234462608210680 is 86012806264432.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234462608210681) 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, 343283920 + ... + 343966240.

It is an arithmetic number, because the mean of its divisors is an integer number (4504901363820).

Almost surely, 2234462608210680 is an apocalyptic number.

234462608210680 is a gapful number since it is divisible by the number (20) 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 234462608210680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288313687284480).

234462608210680 is an abundant number, since it is smaller than the sum of its proper divisors (342164766358280).

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

234462608210680 is a wasteful number, since it uses less digits than its factorization.

234462608210680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698681 (or 698677 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 234462608210680 in words is "two hundred thirty-four trillion, four hundred sixty-two billion, six hundred eight million, two hundred ten thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 16301 21080 32602 65204 81505 130408 163010 277117 326020 505331 554234 652040 682321 1010662 1108468 1364642 1385585 2021324 2216936 2526655 2729284 2771170 3411605 4042648 5053310 5458568 5542340 6823210 8590627 10106620 11084680 11599457 13646420 17181254 20213240 21151951 23198914 27292840 34362508 42303902 42953135 46397828 57997285 68725016 84607804 85906270 92795656 105759755 115994570 169215608 171812540 211519510 231989140 343625080 359583167 423039020 463978280 719166334 846078040 1438332668 1797915835 2876665336 3595831670 7191663340 11122514621 14383326680 22245029242 44490058484 55612573105 88980116968 111225146210 189082748557 222450292420 344797953251 378165497114 444900584840 689595906502 756330994228 945413742785 1379191813004 1512661988456 1723989766255 1890827485570 2758383626008 3447979532510 3781654971140 5861565205267 6895959065020 7563309942280 11723130410534 13791918130040 23446260821068 29307826026335 46892521642136 58615652052670 117231304105340 234462608210680