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274029921690 = 235723935315467
BaseRepresentation
bin1111111100110101110…
…1001100010110011010
3222012022121122100122220
43333031131030112122
513442203124443230
6325515420124510
725540500621330
oct3771535142632
9865277570586
10274029921690
11a6240824068
1245138096736
131cac1633675
14d397dd9b50
1571dc76ad10
hex3fcd74c59a

274029921690 has 128 divisors (see below), whose sum is σ = 756956897280. Its totient is φ = 62192621568.

The previous prime is 274029921689. The next prime is 274029921709. The reversal of 274029921690 is 96129920472.

It is a super-2 number, since 2×2740299216902 (a number of 24 digits) contains 22 as substring.

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, 17709337 + ... + 17724803.

It is an arithmetic number, because the mean of its divisors is an integer number (5913725760).

Almost surely, 2274029921690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274029921690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378478448640).

274029921690 is an abundant number, since it is smaller than the sum of its proper divisors (482926975590).

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

274029921690 is a wasteful number, since it uses less digits than its factorization.

274029921690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076.

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 274029921690 in words is "two hundred seventy-four billion, twenty-nine million, nine hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 353 478 706 717 1059 1195 1434 1673 1765 2118 2390 2471 3346 3530 3585 4942 5019 5295 7170 7413 8365 10038 10590 12355 14826 15467 16730 24710 25095 30934 37065 46401 50190 74130 77335 84367 92802 108269 154670 168734 216538 232005 253101 324807 421835 464010 506202 541345 590569 649614 843670 1082690 1181138 1265505 1624035 1771707 2531010 2952845 3248070 3543414 3696613 5459851 5905690 7393226 8858535 10919702 11089839 16379553 17717070 18483065 22179678 25876291 27299255 32759106 36966130 38218957 51752582 54598510 55449195 76437914 77628873 81897765 110898390 114656871 129381455 155257746 163795530 191094785 229313742 258762910 382189570 388144365 573284355 776288730 1146568710 1304904389 2609808778 3914713167 6524521945 7829426334 9134330723 13049043890 18268661446 19573565835 27402992169 39147131670 45671653615 54805984338 91343307230 137014960845 274029921690