Search a number
-
+
2380688476074 = 2353167235201
BaseRepresentation
bin100010101001001100000…
…101110100011110101010
322102120222021101011100000
4202221030011310132222
5303001122222213244
65021401224123430
7333666452106036
oct42511405643652
98376867334300
102380688476074
1183870a642457
12325487906576
13143662030a7c
1483323d851c6
1541dd9303169
hex22a4c1747aa

2380688476074 has 144 divisors (see below), whose sum is σ = 5605559721216. Its totient is φ = 756480384000.

The previous prime is 2380688476051. The next prime is 2380688476091. The reversal of 2380688476074 is 4706748860832.

2380688476074 is a `hidden beast` number, since 2 + 3 + 80 + 6 + 88 + 476 + 0 + 7 + 4 = 666.

It is a super-2 number, since 2×23806884760742 (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 67613674 + ... + 67648874.

It is an arithmetic number, because the mean of its divisors is an integer number (38927498064).

Almost surely, 22380688476074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380688476074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802779860608).

2380688476074 is an abundant number, since it is smaller than the sum of its proper divisors (3224871245142).

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

2380688476074 is an equidigital number, since it uses as much as digits as its factorization.

2380688476074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35383 (or 35304 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 2380688476074 in words is "two trillion, three hundred eighty billion, six hundred eighty-eight million, four hundred seventy-six thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 67 81 93 134 162 186 201 243 279 402 486 558 603 837 1206 1674 1809 2077 2511 3618 4154 4489 5022 5427 6231 7533 8978 10854 12462 13467 15066 16281 18693 26934 32562 35201 37386 40401 56079 70402 80802 105603 112158 121203 139159 168237 211206 242406 278318 316809 336474 363609 417477 504711 633618 727218 834954 950427 1009422 1090827 1091231 1252431 1900854 2181654 2182462 2358467 2504862 2851281 3273693 3757293 4716934 5702562 6547386 7075401 7514586 8553843 9821079 11271879 14150802 17107686 19642158 21226203 22543758 29463237 33815637 42452406 58926474 63678609 67631274 73112477 88389711 127357218 146224954 158017289 176779422 191035827 219337431 265169133 316034578 382071654 438674862 474051867 530338266 573107481 658012293 948103734 1146214962 1316024586 1422155601 1974036879 2844311202 3948073758 4266466803 4898535959 5922110637 8532933606 9797071918 11844221274 12799400409 14695607877 17766331911 25598800818 29391215754 35532663822 38398201227 44086823631 76796402454 88173647262 132260470893 264520941786 396781412679 793562825358 1190344238037 2380688476074