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385828457740 = 2251121011938179
BaseRepresentation
bin1011001110101010010…
…10110000110100001100
31100212220001022102200021
411213111022300310030
522310134041121430
6453125214511524
736606121531165
oct5472512606414
91325801272607
10385828457740
111396a1118a00
12629392055a4
132a4ca62a18b
1414961dd476c
15a0826cd07a
hex59d52b0d0c

385828457740 has 144 divisors (see below), whose sum is σ = 904182582240. Its totient is φ = 138175488000.

The previous prime is 385828457737. The next prime is 385828457743. The reversal of 385828457740 is 47754828583.

It is an interprime number because it is at equal distance from previous prime (385828457737) and next prime (385828457743).

It is not an unprimeable number, because it can be changed into a prime (385828457743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47168971 + ... + 47177149.

It is an arithmetic number, because the mean of its divisors is an integer number (6279045710).

Almost surely, 2385828457740 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 385828457740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452091291120).

385828457740 is an abundant number, since it is smaller than the sum of its proper divisors (518354124500).

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

385828457740 is a wasteful number, since it uses less digits than its factorization.

385828457740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 61.

The spelling of 385828457740 in words is "three hundred eighty-five billion, eight hundred twenty-eight million, four hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 193 202 220 242 386 404 484 505 605 772 965 1010 1111 1210 1930 2020 2123 2222 2420 3860 4246 4444 5555 8179 8492 10615 11110 12221 16358 19493 21230 22220 23353 24442 32716 38986 40895 42460 46706 48884 61105 77972 81790 89969 93412 97465 116765 122210 163580 179938 194930 214423 233530 244420 359876 389860 428846 449845 467060 826079 857692 899690 989659 1072115 1578547 1652158 1799380 1979318 2144230 2358653 3157094 3304316 3958636 4130395 4288460 4717306 4948295 6314188 7892735 8260790 9086869 9434612 9896590 11793265 15785470 16521580 17364017 18173738 19793180 23586530 31570940 34728034 36347476 45434345 47173060 69456068 86820085 90868690 99955559 159433247 173640170 181737380 191004187 199911118 318866494 347280340 382008374 399822236 499777795 637732988 764016748 797166235 955020935 999555590 1594332470 1753765717 1910041870 1999111180 3188664940 3507531434 3820083740 7015062868 8768828585 17537657170 19291422887 35075314340 38582845774 77165691548 96457114435 192914228870 385828457740