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67374882816 = 213319144289
BaseRepresentation
bin111110101111110110…
…110010000000000000
320102220110201200002020
4332233312302000000
52100440432222231
650541313321440
74603420024533
oct765766620000
9212813650066
1067374882816
112663440173a
1211083866280
13647961c087
143392116a1a
151b44e1d396
hexfafdb2000

67374882816 has 112 divisors (see below), whose sum is σ = 189112245600. Its totient is φ = 21276131328.

The previous prime is 67374882811. The next prime is 67374882821. The reversal of 67374882816 is 61828847376.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67374882811) and next prime (67374882821).

It is a self number, because there is not a number n which added to its sum of digits gives 67374882816.

It is not an unprimeable number, because it can be changed into a prime (67374882811) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 394800 + ... + 539088.

Almost surely, 267374882816 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 67374882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556122800).

67374882816 is an abundant number, since it is smaller than the sum of its proper divisors (121737362784).

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

67374882816 is a wasteful number, since it uses less digits than its factorization.

67374882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144337 (or 144313 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 67374882816 in words is "sixty-seven billion, three hundred seventy-four million, eight hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9728 12288 14592 19456 24576 29184 38912 58368 77824 116736 144289 155648 233472 288578 432867 466944 577156 865734 1154312 1731468 2308624 2741491 3462936 4617248 5482982 6925872 8224473 9234496 10965964 13851744 16448946 18468992 21931928 27703488 32897892 36937984 43863856 55406976 65795784 73875968 87727712 110813952 131591568 147751936 175455424 221627904 263183136 295503872 350910848 443255808 526366272 591007744 701821696 886511616 1052732544 1182015488 1403643392 1773023232 2105465088 2807286784 3546046464 4210930176 5614573568 8421860352 11229147136 16843720704 22458294272 33687441408 67374882816