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10620384054 = 2373171131877
BaseRepresentation
bin10011110010000011…
…00011001100110110
31000102011010102001120
421321001203030312
5133222304242204
64513503404410
7524116526550
oct117101431466
930364112046
1010620384054
11455aa25805
1220848b3706
1310033a2227
1472a6d44d0
154225a56d9
hex279063336

10620384054 has 128 divisors (see below), whose sum is σ = 25634340864. Its totient is φ = 2869776000.

The previous prime is 10620384029. The next prime is 10620384079. The reversal of 10620384054 is 45048302601.

It is an interprime number because it is at equal distance from previous prime (10620384029) and next prime (10620384079).

It is a super-2 number, since 2×106203840542 (a number of 21 digits) contains 22 as substring.

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, 12109464 + ... + 12110340.

It is an arithmetic number, because the mean of its divisors is an integer number (200268288).

Almost surely, 210620384054 is an apocalyptic number.

10620384054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10620384054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817170432).

10620384054 is an abundant number, since it is smaller than the sum of its proper divisors (15013956810).

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

10620384054 is a wasteful number, since it uses less digits than its factorization.

10620384054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10620384054 its reverse (45048302601), we get a palindrome (55668686655).

The spelling of 10620384054 in words is "ten billion, six hundred twenty million, three hundred eighty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 71 93 131 142 186 213 217 262 393 426 434 497 651 786 877 917 994 1302 1491 1754 1834 2201 2631 2751 2982 4061 4402 5262 5502 6139 6603 8122 9301 12183 12278 13206 15407 18417 18602 24366 27187 27903 28427 30814 36834 46221 54374 55806 56854 62267 65107 81561 85281 92442 114887 124534 130214 163122 170562 186801 190309 195321 229774 288331 344661 373602 380618 390642 435869 570927 576662 689322 804209 864993 871738 1141854 1307607 1608418 1729986 1930277 2018317 2412627 2615214 3561497 3860554 4036634 4825254 5790831 6054951 7122994 8156977 10684491 11581662 12109902 13511939 16313954 21368982 24470931 24930479 27023878 40535817 48941862 49860958 57098839 74791437 81071634 114197678 149582874 171296517 252866287 342593034 505732574 758598861 1517197722 1770064009 3540128018 5310192027 10620384054