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268240357374 = 2311193165310567
BaseRepresentation
bin1111100111010001011…
…1110000011111111110
3221122101010120000110220
43321310113300133332
513343324012413444
6323121121442210
725244150263143
oct3716427603776
9848333500426
10268240357374
11a383a763770
1243ba11a0366
131c3ab036b72
14cda91283ca
156e9e34e619
hex3e745f07fe

268240357374 has 128 divisors (see below), whose sum is σ = 636961259520. Its totient is φ = 74401545600.

The previous prime is 268240357337. The next prime is 268240357417. The reversal of 268240357374 is 473753042862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25379439 + ... + 25390005.

It is an arithmetic number, because the mean of its divisors is an integer number (4976259840).

Almost surely, 2268240357374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268240357374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318480629760).

268240357374 is an abundant number, since it is smaller than the sum of its proper divisors (368720902146).

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

268240357374 is a wasteful number, since it uses less digits than its factorization.

268240357374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286.

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 268240357374 in words is "two hundred sixty-eight billion, two hundred forty million, three hundred fifty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 653 682 1023 1178 1254 1306 1767 1959 2046 3534 3918 6479 7183 10567 12407 12958 14366 19437 20243 21134 21549 24814 31701 37221 38874 40486 43098 60729 63402 74442 116237 121458 136477 200773 222673 232474 272954 327577 348711 384617 401546 409431 445346 602319 655154 668019 697422 769234 818862 982731 1153851 1204638 1336038 1965462 2208503 2307702 3603347 4230787 4417006 6223963 6625509 6900251 7206694 8461574 10810041 12447926 12692361 13251018 13800502 18671889 20700753 21620082 25384722 37343778 41401506 68463593 75902761 131104769 136927186 151805522 205390779 213907781 227708283 262209538 393314307 410781558 427815562 455416566 641723343 786628614 1283446686 1442152459 2352985591 2884304918 4064247839 4326457377 4705971182 7058956773 8128495678 8652914754 12192743517 14117913546 24385487034 44706726229 89413452458 134120178687 268240357374