Search a number
-
+
87402699620478 = 232119722919872497
BaseRepresentation
bin10011110111111000000110…
…110111010000000001111110
3102110110121122102012022002200
4103313320012313100001332
542424001212100323403
6505520125040332330
724260431242514314
oct2367700667200176
9373417572168080
1087402699620478
1125938305396690
12997728b3140a6
1339a00681ab938
1417824557240b4
15a18828a3dca3
hex4f7e06dd007e

87402699620478 has 96 divisors (see below), whose sum is σ = 209629417102560. Its totient is φ = 26098151546880.

The previous prime is 87402699620429. The next prime is 87402699620527.

87402699620478 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 2 + 6 + 99 + 62 + 0 + 478 = 666.

87402699620478 is nontrivially palindromic in base 10.

87402699620478 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (87402699620429) and next prime (87402699620527).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5538075 + ... + 14334422.

It is an arithmetic number, because the mean of its divisors is an integer number (2183639761485).

Almost surely, 287402699620478 is an apocalyptic number.

87402699620478 is an abundant number, since it is smaller than the sum of its proper divisors (122226717482082).

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

87402699620478 is a wasteful number, since it uses less digits than its factorization.

87402699620478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19872842 (or 19872839 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 87402699620478 in words is "eighty-seven trillion, four hundred two billion, six hundred ninety-nine million, six hundred twenty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 229 291 458 582 687 873 1067 1374 1746 2061 2134 2519 3201 4122 5038 6402 7557 9603 15114 19206 22213 22671 44426 45342 66639 133278 199917 244343 399834 488686 733029 1466058 2199087 4398174 19872497 39744994 59617491 119234982 178852473 218597467 357704946 437194934 655792401 1311584802 1927632209 1967377203 3855264418 3934754406 4550801813 5782896627 9101603626 11565793254 13652405439 17348689881 21203954299 27304810878 34697379762 40957216317 42407908598 50058819943 63611862897 81914432634 100117639886 127223725794 150176459829 190835588691 300352919658 381671177382 441427775861 450529379487 882855551722 901058758974 1324283327583 2648566655166 3972849982749 4855705534471 7945699965498 9711411068942 14567116603413 29134233206826 43701349810239 87402699620478