Search a number
-
+
690513249120 = 253571103919501
BaseRepresentation
bin10100000110001011100…
…11000000001101100000
32110000100001111112001020
422003011303000031200
542303132342432440
61245114543205440
7100613363526462
oct12030563001540
92400301445036
10690513249120
11246932800312
12b19ab5a6880
1350165bc3296
14255c73c6132
1512e662cd3d0
hexa0c5cc0360

690513249120 has 192 divisors, whose sum is σ = 2207988357120. Its totient is φ = 181359360000.

The previous prime is 690513249113. The next prime is 690513249149. The reversal of 690513249120 is 21942315096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35399370 + ... + 35418870.

It is an arithmetic number, because the mean of its divisors is an integer number (11499939360).

Almost surely, 2690513249120 is an apocalyptic number.

690513249120 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 690513249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103994178560).

690513249120 is an abundant number, since it is smaller than the sum of its proper divisors (1517475108000).

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

690513249120 is a wasteful number, since it uses less digits than its factorization.

690513249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20629 (or 20621 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 690513249120 in words is "six hundred ninety billion, five hundred thirteen million, two hundred forty-nine thousand, one hundred twenty".