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67006157064 = 233711303711939
BaseRepresentation
bin111110011001111000…
…001101000100001000
320101221202220110102220
4332121320031010020
52044212034011224
650440542254040
74561321636410
oct763170150410
9211852813386
1067006157064
1126465257610
1210ba0287320
13641b10a762
143359173640
151b22886279
hexf99e0d108

67006157064 has 128 divisors (see below), whose sum is σ = 208936627200. Its totient is φ = 17397008640.

The previous prime is 67006157063. The next prime is 67006157077. The reversal of 67006157064 is 46075160076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (67006157063) 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, 5606407 + ... + 5618345.

It is an arithmetic number, because the mean of its divisors is an integer number (1632317400).

Almost surely, 267006157064 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 67006157064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104468313600).

67006157064 is an abundant number, since it is smaller than the sum of its proper divisors (141930470136).

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

67006157064 is a wasteful number, since it uses less digits than its factorization.

67006157064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15003 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 67006157064 in words is "sixty-seven billion, six million, one hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3037 6074 9111 11939 12148 18222 21259 23878 24296 33407 35817 36444 42518 47756 63777 66814 71634 72888 83573 85036 95512 100221 127554 131329 133628 143268 167146 170072 200442 233849 250719 255108 262658 267256 286536 334292 393987 400884 467698 501438 510216 525316 668584 701547 787974 801768 919303 935396 1002876 1050632 1403094 1575948 1838606 1870792 2005752 2757909 2806188 3151896 3677212 5515818 5612376 7354424 11031636 22063272 36258743 72517486 108776229 145034972 217552458 253811201 290069944 398846173 435104916 507622402 761433603 797692346 870209832 1015244804 1196538519 1522867206 1595384692 2030489608 2393077038 2791923211 3045734412 3190769384 4786154076 5583846422 6091468824 8375769633 9572308152 11167692844 16751539266 22335385688 33503078532 67006157064