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77007412230 = 23577914931153
BaseRepresentation
bin100011110110111111…
…1111101110000000110
321100202210000212022220
41013231333331300012
52230202344142410
655213212033210
75364213126630
oct1075577756006
9240683025286
1077007412230
112a727749651
1212b11762806
137353147318
143a27541a50
15200a8e1070
hex11edffdc06

77007412230 has 128 divisors (see below), whose sum is σ = 215336448000. Its totient is φ = 17261697024.

The previous prime is 77007412219. The next prime is 77007412249. The reversal of 77007412230 is 3221470077.

It is a super-2 number, since 2×770074122302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77007412191 and 77007412200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456334 + ... + 2487486.

It is an arithmetic number, because the mean of its divisors is an integer number (1682316000).

Almost surely, 277007412230 is an apocalyptic number.

77007412230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77007412230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107668224000).

77007412230 is an abundant number, since it is smaller than the sum of its proper divisors (138329035770).

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

77007412230 is a wasteful number, since it uses less digits than its factorization.

77007412230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31398.

The product of its (nonzero) digits is 16464, while the sum is 33.

The spelling of 77007412230 in words is "seventy-seven billion, seven million, four hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 149 158 210 237 298 395 447 474 553 745 790 894 1043 1106 1185 1490 1659 2086 2235 2370 2765 3129 3318 4470 5215 5530 6258 8295 10430 11771 15645 16590 23542 31153 31290 35313 58855 62306 70626 82397 93459 117710 155765 164794 176565 186918 218071 247191 311530 353130 411985 436142 467295 494382 654213 823970 934590 1090355 1235955 1308426 2180710 2461087 2471910 3271065 4641797 4922174 6542130 7383261 9283594 12305435 13925391 14766522 17227609 23208985 24610870 27850782 32492579 34455218 36916305 46417970 51682827 64985158 69626955 73832610 86138045 97477737 103365654 139253910 162462895 172276090 194955474 258414135 324925790 366701963 487388685 516828270 733403926 974777370 1100105889 1833509815 2200211778 2566913741 3667019630 5133827482 5500529445 7700741223 11001058890 12834568705 15401482446 25669137410 38503706115 77007412230