Search a number
-
+
2023856698932 = 2234192879114193
BaseRepresentation
bin11101011100110111010…
…000100111011000110100
321011110221001102201120000
4131130313100213120310
5231124324303331212
64145425200511300
7266135025046125
oct35346720473064
97143831381500
102023856698932
117103493878a2
122882a161b530
13118b05c68983
146dd5306604c
15379a26141dc
hex1d737427634

2023856698932 has 120 divisors (see below), whose sum is σ = 5571205516800. Its totient is φ = 638885055744.

The previous prime is 2023856698921. The next prime is 2023856698939. The reversal of 2023856698932 is 2398966583202.

2023856698932 is a `hidden beast` number, since 2 + 0 + 2 + 38 + 566 + 9 + 8 + 9 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2023856698932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023856698939) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17666028 + ... + 17780220.

It is an arithmetic number, because the mean of its divisors is an integer number (46426712640).

Almost surely, 22023856698932 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 2023856698932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785602758400).

2023856698932 is an abundant number, since it is smaller than the sum of its proper divisors (3547348817868).

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

2023856698932 is a wasteful number, since it uses less digits than its factorization.

2023856698932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117107 (or 117096 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2023856698932 in words is "two trillion, twenty-three billion, eight hundred fifty-six million, six hundred ninety-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 2879 3078 5758 6156 8637 11516 17274 25911 34548 51822 54701 77733 103644 109402 114193 155466 164103 218804 228386 233199 310932 328206 342579 456772 466398 492309 656412 685158 932796 984618 1027737 1370316 1476927 1969236 2055474 2169667 2953854 3083211 4110948 4339334 4430781 5907708 6166422 6509001 8678668 8861562 9249633 12332844 13018002 17723124 18499266 19527003 26036004 36998532 39054006 58581009 78108012 117162018 175743027 234324036 328761647 351486054 657523294 702972108 986284941 1315046588 1972569882 2958854823 3945139764 5917709646 6246471293 8876564469 11835419292 12492942586 17753128938 18739413879 24985885172 26629693407 35506257876 37478827758 53259386814 56218241637 74957655516 106518773628 112436483274 168654724911 224872966548 337309449822 505964174733 674618899644 1011928349466 2023856698932