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332342261472 = 253133111877237
BaseRepresentation
bin1001101011000010010…
…01000111011011100000
31011202211111121010211010
410311201021013123200
520421114104331342
6412402000020520
733003515420004
oct4654111073340
91152744533733
10332342261472
11118a445a7011
12544b0901740
1325455544b30
141212a69a704
1589a1c5629c
hex4d612476e0

332342261472 has 192 divisors, whose sum is σ = 970763802624. Its totient is φ = 98863441920.

The previous prime is 332342261431. The next prime is 332342261473. The reversal of 332342261472 is 274162243233.

It is a super-2 number, since 2×3323422614722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 332342261472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332342261473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45919038 + ... + 45926274.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061472).

Almost surely, 2332342261472 is an apocalyptic number.

332342261472 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 332342261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485381901312).

332342261472 is an abundant number, since it is smaller than the sum of its proper divisors (638421541152).

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

332342261472 is a wasteful number, since it uses less digits than its factorization.

332342261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8473 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The spelling of 332342261472 in words is "three hundred thirty-two billion, three hundred forty-two million, two hundred sixty-one thousand, four hundred seventy-two".