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2114178816645 = 34572332423569
BaseRepresentation
bin11110110000111110111…
…000001001101010000101
321111010001202102201010000
4132300332320021222011
5234114314234113040
64255123525151513
7305513215301310
oct36607670115205
97433052381100
102114178816645
11745688909775
122a18aa25b599
1312449b73103c
1474480a53977
1539edbdbd130
hex1ec3ee09a85

2114178816645 has 80 divisors (see below), whose sum is σ = 4519586269440. Its totient is φ = 924460770816.

The previous prime is 2114178816619. The next prime is 2114178816671. The reversal of 2114178816645 is 5466188714112.

2114178816645 is a `hidden beast` number, since 21 + 1 + 417 + 8 + 8 + 166 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (2114178816619) and next prime (2114178816671).

It is not a de Polignac number, because 2114178816645 - 29 = 2114178816133 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2114178816591 and 2114178816600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16146580 + ... + 16276989.

It is an arithmetic number, because the mean of its divisors is an integer number (56494828368).

Almost surely, 22114178816645 is an apocalyptic number.

It is an amenable number.

2114178816645 is an abundant number, since it is smaller than the sum of its proper divisors (2405407452795).

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

2114178816645 is a wasteful number, since it uses less digits than its factorization.

2114178816645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423616 (or 32423607 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 2114178816645 in words is "two trillion, one hundred fourteen billion, one hundred seventy-eight million, eight hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 315 345 405 483 567 621 805 945 1035 1449 1863 2415 2835 3105 4347 7245 9315 13041 21735 65205 32423569 97270707 162117845 226964983 291812121 486353535 680894949 745742087 875436363 1134824915 1459060605 2042684847 2237226261 2626309089 3404474745 3728710435 4377181815 5220194609 6128054541 6711678783 10213424235 11186131305 13131545445 15660583827 18384163623 20135036349 26100973045 30640272705 33558393915 46981751481 60405109047 78302919135 91920818115 100675181745 140945254443 234908757405 302025545235 422835763329 704726272215 2114178816645