Search a number
-
+
690926401440 = 253351131674591
BaseRepresentation
bin10100000110111100110…
…11000011011110100000
32110001101211220211111000
422003132123003132200
542310004124321230
61245223542352000
7100626541340262
oct12033633033640
92401354824430
10690926401440
11247024a39810
12b1aa5a2b600
135020068b202
1425626211b32
1512e8c6ddb60
hexa0de6c37a0

690926401440 has 384 divisors, whose sum is σ = 2639490416640. Its totient is φ = 167407948800.

The previous prime is 690926401411. The next prime is 690926401469. The reversal of 690926401440 is 44104629096.

690926401440 is a `hidden beast` number, since 69 + 0 + 92 + 64 + 0 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (690926401411) and next prime (690926401469).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150493545 + ... + 150498135.

It is an arithmetic number, because the mean of its divisors is an integer number (6873672960).

Almost surely, 2690926401440 is an apocalyptic number.

690926401440 is a gapful number since it is divisible by the number (60) 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 690926401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319745208320).

690926401440 is an abundant number, since it is smaller than the sum of its proper divisors (1948564015200).

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

690926401440 is a wasteful number, since it uses less digits than its factorization.

690926401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 690926401440 in words is "six hundred ninety billion, nine hundred twenty-six million, four hundred one thousand, four hundred forty".