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198321646416 = 24343263336493
BaseRepresentation
bin1011100010110011100…
…1000010101101010000
3200221220101011111012120
42320230321002231100
511222130320141131
6231035133054240
720220411115605
oct2705471025520
9627811144176
10198321646416
1177120443323
1232529627380
13159176b154a
1498552326ac
15525ae49496
hex2e2ce42b50

198321646416 has 80 divisors (see below), whose sum is σ = 524459069376. Its totient is φ = 64543546368.

The previous prime is 198321646403. The next prime is 198321646511. The reversal of 198321646416 is 614646123891.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416266 + ... + 5452758.

Almost surely, 2198321646416 is an apocalyptic number.

198321646416 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 198321646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262229534688).

198321646416 is an abundant number, since it is smaller than the sum of its proper divisors (326137422960).

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

198321646416 is a wasteful number, since it uses less digits than its factorization.

198321646416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39180 (or 39174 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 198321646416 in words is "one hundred ninety-eight billion, three hundred twenty-one million, six hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2633 5266 7899 10532 15798 21064 31596 36493 42128 63192 72986 109479 113219 126384 145972 218958 226438 291944 339657 437916 452876 583888 679314 875832 905752 1358628 1569199 1751664 1811504 2717256 3138398 4707597 5434512 6276796 9415194 12553592 18830388 25107184 37660776 75321552 96086069 192172138 288258207 384344276 576516414 768688552 1153032828 1537377104 2306065656 4131700967 4612131312 8263401934 12395102901 16526803868 24790205802 33053607736 49580411604 66107215472 99160823208 198321646416