Search a number
-
+
102433479822 = 236523134333
BaseRepresentation
bin101111101100110000…
…0101101110010001110
3100210101202122221000000
41133121200231302032
53134240432323242
6115020212545130
710254253132602
oct1373140556216
9323352587000
10102433479822
113a495035553
1217a289221a6
139875a1b22b
144d5a317502
1529e7bc5a4c
hex17d982dc8e

102433479822 has 56 divisors (see below), whose sum is σ = 230812141464. Its totient is φ = 34078953744.

The previous prime is 102433479793. The next prime is 102433479829. The reversal of 102433479822 is 228974334201.

102433479822 is a `hidden beast` number, since 102 + 433 + 4 + 7 + 98 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433479829) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 695368 + ... + 829700.

Almost surely, 2102433479822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102433479822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115406070732).

102433479822 is an abundant number, since it is smaller than the sum of its proper divisors (128378661642).

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

102433479822 is an equidigital number, since it uses as much as digits as its factorization.

102433479822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134876 (or 134861 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 102433479822 in words is "one hundred two billion, four hundred thirty-three million, four hundred seventy-nine thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 523 729 1046 1458 1569 3138 4707 9414 14121 28242 42363 84726 127089 134333 254178 268666 381267 402999 762534 805998 1208997 2417994 3626991 7253982 10880973 21761946 32642919 65285838 70256159 97928757 140512318 195857514 210768477 421536954 632305431 1264610862 1896916293 3793832586 5690748879 11381497758 17072246637 34144493274 51216739911 102433479822