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34398149499 = 3372194433089
BaseRepresentation
bin100000000010010010…
…100001101101111011
310021210021012001021000
4200002102201231323
51030421411240444
623445143420043
72325263306100
oct400222415573
9107707161230
1034398149499
111365194992a
1267bba54623
13332262aa1c
141944600aa7
15d64ce9469
hex8024a1b7b

34398149499 has 96 divisors (see below), whose sum is σ = 62561376000. Its totient is φ = 18573504768.

The previous prime is 34398149483. The next prime is 34398149501. The reversal of 34398149499 is 99494189343.

34398149499 is a `hidden beast` number, since 3 + 43 + 98 + 14 + 9 + 499 = 666.

It is not a de Polignac number, because 34398149499 - 24 = 34398149483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34398149459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11134147 + ... + 11137235.

It is an arithmetic number, because the mean of its divisors is an integer number (651681000).

Almost surely, 234398149499 is an apocalyptic number.

34398149499 is a deficient number, since it is larger than the sum of its proper divisors (28163226501).

34398149499 is a wasteful number, since it uses less digits than its factorization.

34398149499 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3561 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 34398149499 in words is "thirty-four billion, three hundred ninety-eight million, one hundred forty-nine thousand, four hundred ninety-nine".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 443 513 931 1197 1323 1329 2793 3089 3101 3591 3987 8379 8417 9267 9303 11961 21623 21707 25137 25251 27801 27909 58691 58919 64869 65121 75753 83403 83727 151361 176073 176757 194607 195363 227259 410837 412433 454083 528219 530271 583821 586089 1232511 1237299 1362249 1368427 1584657 1590813 2875859 3697533 3711897 4086747 4105281 8627577 9578989 11092599 11135691 12315843 25882731 26000113 28736967 36947529 67052923 77648193 78000339 86210901 182000791 201158769 234001017 258632703 546002373 603476307 702003051 1274005537 1638007119 1810428921 3822016611 4914021357 11466049833 34398149499