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1217220638688 = 253229145740019
BaseRepresentation
bin10001101101101000000…
…000001111011111100000
311022100212012101012021100
4101231220000033133200
5124420331440414223
62331103342354400
7153640601500515
oct21555000173740
94270765335240
101217220638688
1142a24735489a
12177aa488ba00
138aa25210442
1442cb163d30c
15219e1947043
hex11b6800f7e0

1217220638688 has 72 divisors (see below), whose sum is σ = 3580832291400. Its totient is φ = 391749168384.

The previous prime is 1217220638687. The next prime is 1217220638779. The reversal of 1217220638688 is 8868360227121.

1217220638688 is a `hidden beast` number, since 12 + 172 + 2 + 0 + 6 + 386 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12172206386882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217220638687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72861658 + ... + 72878361.

It is an arithmetic number, because the mean of its divisors is an integer number (49733781825).

Almost surely, 21217220638688 is an apocalyptic number.

1217220638688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1217220638688 is an abundant number, since it is smaller than the sum of its proper divisors (2363611652712).

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

1217220638688 is a wasteful number, since it uses less digits than its factorization.

1217220638688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145740064 (or 145740053 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1217220638688 in words is "one trillion, two hundred seventeen billion, two hundred twenty million, six hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 145740019 291480038 437220057 582960076 874440114 1165920152 1311660171 1748880228 2331840304 2623320342 3497760456 4226460551 4663680608 5246640684 6995520912 8452921102 10493281368 12679381653 13991041824 16905842204 20986562736 25358763306 33811684408 38038144959 41973125472 50717526612 67623368816 76076289918 101435053224 135246737632 152152579836 202870106448 304305159672 405740212896 608610319344 1217220638688