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690087111840 = 253357177191867
BaseRepresentation
bin10100000101011000110…
…01011010110010100000
32102222020100122111121000
422002230121122302200
542301244300034330
61245004401432000
7100600000444650
oct12025431326240
92388210574530
10690087111840
11246734203045
12b18b093b600
13500c882cc49
142558697a360
1512e3dba5560
hexa0ac65aca0

690087111840 has 768 divisors, whose sum is σ = 2928354508800. Its totient is φ = 148169834496.

The previous prime is 690087111821. The next prime is 690087111911. The reversal of 690087111840 is 48111780096.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 369622587 + ... + 369624453.

It is an arithmetic number, because the mean of its divisors is an integer number (3812961600).

Almost surely, 2690087111840 is an apocalyptic number.

690087111840 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 690087111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464177254400).

690087111840 is an abundant number, since it is smaller than the sum of its proper divisors (2238267396960).

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

690087111840 is a wasteful number, since it uses less digits than its factorization.

690087111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 690087111840 in words is "six hundred ninety billion, eighty-seven million, one hundred eleven thousand, eight hundred forty".