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10858580442380 = 225113311217122527
BaseRepresentation
bin1001111000000011010111…
…0101000111110100001100
31102110001220010210210121002
42132000311311013310030
52410401333043124010
635032210223355432
72200335513604136
oct236006565076414
942401803723532
1010858580442380
113507109639160
121274570752b78
13609c62726648
142977b55c4056
1513c6cb02d1a5
hex9e035d47d0c

10858580442380 has 96 divisors (see below), whose sum is σ = 24971880794112. Its totient is φ = 3933378662400.

The previous prime is 10858580442341. The next prime is 10858580442397. The reversal of 10858580442380 is 8324408585801.

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, 88560677 + ... + 88683203.

It is an arithmetic number, because the mean of its divisors is an integer number (260123758272).

Almost surely, 210858580442380 is an apocalyptic number.

10858580442380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10858580442380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485940397056).

10858580442380 is an abundant number, since it is smaller than the sum of its proper divisors (14113300351732).

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

10858580442380 is a wasteful number, since it uses less digits than its factorization.

10858580442380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124095 (or 124093 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 56.

The spelling of 10858580442380 in words is "ten trillion, eight hundred fifty-eight billion, five hundred eighty million, four hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1217 1324 1655 2434 3310 3641 4868 6085 6620 7282 12170 13387 14564 18205 24340 26774 36410 53548 66935 72820 122527 133870 245054 267740 402827 490108 612635 805654 1225270 1347797 1611308 2014135 2450540 2695594 4028270 4431097 5391188 6738985 8056540 8862194 13477970 17724388 22155485 26955940 40556437 44310970 81112874 88621940 149115359 162225748 202782185 298230718 405564370 446120807 596461436 745576795 811128740 892241614 1491153590 1640268949 1784483228 2230604035 2982307180 3280537898 4461208070 6561075796 8201344745 8922416140 16402689490 32805378980 49357183829 98714367658 197428735316 246785919145 493571838290 542929022119 987143676580 1085858044238 2171716088476 2714645110595 5429290221190 10858580442380