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31242205472 = 254737355691
BaseRepresentation
bin11101000110001011…
…100011100100100000
32222122022201110221012
4131012023203210200
51002441001033342
622204044520052
72154132236102
oct350613434440
988568643835
1031242205472
1112282457425
12607ab50028
132c3b845c1a
141725403572
15c2cbeeb82
hex7462e3920

31242205472 has 48 divisors (see below), whose sum is σ = 62986315392. Its totient is φ = 15247476480.

The previous prime is 31242205471. The next prime is 31242205523. The reversal of 31242205472 is 27450224213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31242205471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533147 + ... + 588837.

It is an arithmetic number, because the mean of its divisors is an integer number (1312214904).

Almost surely, 231242205472 is an apocalyptic number.

31242205472 is a gapful number since it is divisible by the number (32) 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 31242205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31493157696).

31242205472 is an abundant number, since it is smaller than the sum of its proper divisors (31744109920).

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

31242205472 is a wasteful number, since it uses less digits than its factorization.

31242205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56121 (or 56113 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 31242205472 its reverse (27450224213), we get a palindrome (58692429685).

The spelling of 31242205472 in words is "thirty-one billion, two hundred forty-two million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 94 188 373 376 746 752 1492 1504 2984 5968 11936 17531 35062 55691 70124 111382 140248 222764 280496 445528 560992 891056 1782112 2617477 5234954 10469908 20772743 20939816 41545486 41879632 83090972 83759264 166181944 332363888 664727776 976318921 1952637842 3905275684 7810551368 15621102736 31242205472