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198918786816 = 2832657713127
BaseRepresentation
bin1011100101000001111…
…0111100111100000000
3201000102222210100211200
42321100132330330000
511224341202134231
6231214303541200
720241251534661
oct2712036747400
9630388710750
10198918786816
11773a7518792
12326755ba800
13159b1318669
1498b0673368
15529359ebe6
hex2e507bcf00

198918786816 has 108 divisors (see below), whose sum is σ = 573662801712. Its totient is φ = 66291130368.

The previous prime is 198918786779. The next prime is 198918786863. The reversal of 198918786816 is 618687819891.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15146845 + ... + 15159971.

Almost surely, 2198918786816 is an apocalyptic number.

198918786816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198918786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286831400856).

198918786816 is an abundant number, since it is smaller than the sum of its proper divisors (374744014896).

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

198918786816 is a wasteful number, since it uses less digits than its factorization.

198918786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726 (or 19709 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 72.

The spelling of 198918786816 in words is "one hundred ninety-eight billion, nine hundred eighteen million, seven hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6577 13127 13154 19731 26254 26308 39381 39462 52508 52616 59193 78762 78924 105016 105232 118143 118386 157524 157848 210032 210464 236286 236772 315048 315696 420064 420928 472572 473544 630096 631392 840128 841856 945144 947088 1260192 1262784 1680256 1683712 1890288 1894176 2520384 2525568 3360512 3780576 3788352 5040768 5051136 7561152 7576704 10081536 15122304 15153408 30244608 86336279 172672558 259008837 345345116 518017674 690690232 777026511 1036035348 1381380464 1554053022 2072070696 2762760928 3108106044 4144141392 5525521856 6216212088 8288282784 11051043712 12432424176 16576565568 22102087424 24864848352 33153131136 49729696704 66306262272 99459393408 198918786816