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66730202352 = 24331115789443
BaseRepresentation
bin111110001001011011…
…100001010011110000
320101020112122111202000
4332021123201103300
52043130412433402
650353323454000
74551431234622
oct761133412360
9211215574660
1066730202352
1126333506770
1210b23987300
1363a5bab448
14333065cc12
151b08526c1c
hexf896e14f0

66730202352 has 160 divisors (see below), whose sum is σ = 210286421760. Its totient is φ = 20092250880.

The previous prime is 66730202327. The next prime is 66730202387. The reversal of 66730202352 is 25320203766.

It is a happy number.

66730202352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701343 + ... + 790785.

It is an arithmetic number, because the mean of its divisors is an integer number (1314290136).

Almost surely, 266730202352 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 66730202352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105143210880).

66730202352 is an abundant number, since it is smaller than the sum of its proper divisors (143556219408).

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

66730202352 is a wasteful number, since it uses less digits than its factorization.

66730202352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89628 (or 89616 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 66730202352 in words is "sixty-six billion, seven hundred thirty million, two hundred two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 157 176 198 216 264 297 314 396 432 471 528 594 628 792 942 1188 1256 1413 1584 1727 1884 2376 2512 2826 3454 3768 4239 4752 5181 5652 6908 7536 8478 10362 11304 13816 15543 16956 20724 22608 27632 31086 33912 41448 46629 62172 67824 82896 89443 93258 124344 178886 186516 248688 268329 357772 373032 536658 715544 746064 804987 983873 1073316 1431088 1609974 1967746 2146632 2414961 2951619 3219948 3935492 4293264 4829922 5903238 6439896 7870984 8854857 9659844 11806476 12879792 14042551 15741968 17709714 19319688 23612952 26564571 28085102 35419428 38639376 42127653 47225904 53129142 56170204 70838856 84255306 106258284 112340408 126382959 141677712 154468061 168510612 212516568 224680816 252765918 308936122 337021224 379148877 425033136 463404183 505531836 617872244 674042448 758297754 926808366 1011063672 1235744488 1390212549 1516595508 1853616732 2022127344 2471488976 2780425098 3033191016 3707233464 4170637647 5560850196 6066382032 7414466928 8341275294 11121700392 16682550588 22243400784 33365101176 66730202352