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5346630366435 = 3352313912388073
BaseRepresentation
bin100110111001101110000…
…0000001111010011100011
3200221010120212022012112000
41031303130000033103203
51200044344333211220
615212112540135043
71061165325155631
oct115633400172343
920833525265460
105346630366435
111781547501286
12724267837483
132ca25380c777
14146ac78b4351
1594128a1a390
hex4dcdc00f4e3

5346630366435 has 64 divisors (see below), whose sum is σ = 9989742873600. Its totient is φ = 2707933434624.

The previous prime is 5346630366431. The next prime is 5346630366457.

It is a happy number.

5346630366435 is a `hidden beast` number, since 53 + 46 + 63 + 0 + 3 + 66 + 435 = 666.

5346630366435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5346630366435 - 22 = 5346630366431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5346630366431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5762442 + ... + 6625631.

It is an arithmetic number, because the mean of its divisors is an integer number (156089732400).

Almost surely, 25346630366435 is an apocalyptic number.

5346630366435 is a deficient number, since it is larger than the sum of its proper divisors (4643112507165).

5346630366435 is a wasteful number, since it uses less digits than its factorization.

5346630366435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388249 (or 12388243 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 54.

The spelling of 5346630366435 in words is "five trillion, three hundred forty-six billion, six hundred thirty million, three hundred sixty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 139 207 345 417 621 695 1035 1251 2085 3105 3197 3753 6255 9591 15985 18765 28773 47955 86319 143865 431595 12388073 37164219 61940365 111492657 185821095 284925679 334477971 557463285 854777037 1424628395 1672389855 1721942147 2564331111 4273885185 5165826441 7692993333 8609710735 12821655555 15497479323 25829132205 38464966665 39604669381 46492437969 77487396615 118814008143 198023346905 232462189845 356442024429 594070040715 1069326073287 1782210122145 5346630366435