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480880157234368 = 26295321123168641
BaseRepresentation
bin110110101010110111010001…
…0111100111001010011000000
32100001122200201222020021202111
41231111232202330321103000
51001012220030222444433
64422425143335425104
7203201305404106603
oct15525564274712300
92301580658207674
10480880157234368
1112a25014726a071
1245b25967825194
1317842a5bc24118
1486a6a1c14c33a
153a8dbe3035dcd
hex1b55ba2f394c0

480880157234368 has 112 divisors (see below), whose sum is σ = 1010543877876960. Its totient is φ = 226689387724800.

The previous prime is 480880157234327. The next prime is 480880157234371. The reversal of 480880157234368 is 863432751088084.

It is a super-3 number, since 3×4808801572343683 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9171328 + ... + 32339968.

It is an arithmetic number, because the mean of its divisors is an integer number (9022713195330).

Almost surely, 2480880157234368 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 480880157234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505271938938480).

480880157234368 is an abundant number, since it is smaller than the sum of its proper divisors (529663720642592).

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

480880157234368 is a wasteful number, since it uses less digits than its factorization.

480880157234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23168946 (or 23168936 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 67.

The spelling of 480880157234368 in words is "four hundred eighty trillion, eight hundred eighty billion, one hundred fifty-seven million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 211 212 232 422 424 464 844 848 928 1537 1688 1696 1856 3074 3376 3392 6119 6148 6752 11183 12238 12296 13504 22366 24476 24592 44732 48952 49184 89464 97904 98368 178928 195808 324307 357856 391616 648614 715712 1297228 2594456 5188912 10377824 20755648 23168641 46337282 92674564 185349128 370698256 671890589 741396512 1227937973 1343781178 1482793024 2455875946 2687562356 4888583251 4911751892 5375124712 9777166502 9823503784 10750249424 19554333004 19647007568 21500498848 35610201217 39108666008 39294015136 43000997696 71220402434 78217332016 78588030272 141768914279 142440804868 156434664032 259094912303 283537828558 284881609736 312869328064 518189824606 567075657116 569763219472 1036379649212 1134151314232 1139526438944 2072759298424 2268302628464 2279052877888 4145518596848 4536605256928 7513752456787 8291037193696 9073210513856 15027504913574 16582074387392 30055009827148 60110019654296 120220039308592 240440078617184 480880157234368