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66734234880 = 283599717431
BaseRepresentation
bin111110001001101010…
…111001110100000000
320101020211020101022220
4332021222321310000
52043132431004010
650353550131040
74551510431355
oct761152716400
9211224211286
1066734234880
1126335810435
1210b251b0a80
1363a6990a61
143330dcc62c
151b08a71970
hexf89ab9d00

66734234880 has 144 divisors (see below), whose sum is σ = 213358475904. Its totient is φ = 17776926720.

The previous prime is 66734234849. The next prime is 66734234881. The reversal of 66734234880 is 8843243766.

It is a super-2 number, since 2×667342348802 (a number of 22 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (66734234881) 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 15 ways as a sum of consecutive naturals, for example, 3819765 + ... + 3837195.

Almost surely, 266734234880 is an apocalyptic number.

66734234880 is a gapful number since it is divisible by the number (60) 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 66734234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106679237952).

66734234880 is an abundant number, since it is smaller than the sum of its proper divisors (146624241024).

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

66734234880 is a wasteful number, since it uses less digits than its factorization.

66734234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18452 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 66734234880 in words is "sixty-six billion, seven hundred thirty-four million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 997 1280 1920 1994 2991 3840 3988 4985 5982 7976 9970 11964 14955 15952 17431 19940 23928 29910 31904 34862 39880 47856 52293 59820 63808 69724 79760 87155 95712 104586 119640 127616 139448 159520 174310 191424 209172 239280 255232 261465 278896 319040 348620 382848 418344 478560 522930 557792 638080 697240 765696 836688 957120 1045860 1115584 1276160 1394480 1673376 1914240 2091720 2231168 2788960 3346752 3828480 4183440 4462336 5577920 6693504 8366880 11155840 13387008 16733760 17378707 22311680 33467520 34757414 52136121 66935040 69514828 86893535 104272242 139029656 173787070 208544484 260680605 278059312 347574140 417088968 521361210 556118624 695148280 834177936 1042722420 1112237248 1390296560 1668355872 2085444840 2224474496 2780593120 3336711744 4170889680 4448948992 5561186240 6673423488 8341779360 11122372480 13346846976 16683558720 22244744960 33367117440 66734234880