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199976034468 = 223747419120889
BaseRepresentation
bin1011101000111110000…
…0000010000010100100
3201010011200012002222010
42322033200002002210
511234022331100333
6231511232234220
720306410150440
oct2721740020244
9633150162863
10199976034468
117789a292581
123290b69b970
1315b1c37aaa2
149970c43820
1553062dd563
hex2e8f8020a4

199976034468 has 96 divisors (see below), whose sum is σ = 545919897600. Its totient is φ = 55786427136.

The previous prime is 199976034463. The next prime is 199976034481. The reversal of 199976034468 is 864430679991.

It is a junction number, because it is equal to n+sod(n) for n = 199976034399 and 199976034408.

It is not an unprimeable number, because it can be changed into a prime (199976034463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593768 + ... + 1714656.

It is an arithmetic number, because the mean of its divisors is an integer number (5686665600).

Almost surely, 2199976034468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199976034468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272959948800).

199976034468 is an abundant number, since it is smaller than the sum of its proper divisors (345943863132).

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

199976034468 is a wasteful number, since it uses less digits than its factorization.

199976034468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121369 (or 121367 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 199976034468 in words is "one hundred ninety-nine billion, nine hundred seventy-six million, thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 419 564 658 838 987 1257 1316 1676 1974 2514 2933 3948 5028 5866 8799 11732 17598 19693 35196 39386 59079 78772 118158 120889 137851 236316 241778 275702 362667 413553 483556 551404 725334 827106 846223 1450668 1654212 1692446 2538669 3384892 5077338 5681783 10154676 11363566 17045349 22727132 34090698 39772481 50652491 68181396 79544962 101304982 119317443 151957473 159089924 202609964 238634886 303914946 354567437 477269772 607829892 709134874 1063702311 1418269748 2127404622 2380667077 4254809244 4761334154 7142001231 9522668308 14284002462 16664669539 28568004924 33329339078 49994008617 66658678156 99988017234 199976034468