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212340695040 = 21332517311093
BaseRepresentation
bin1100010111000001111…
…1011110000000000000
3202022002101110221120200
43011300133132000000
511434333204220130
6241314210005200
721225000061515
oct3056037360000
9668071427520
10212340695040
1182064872021
12351a0576800
131703cc2c7a6
14a3c506730c
1557cba91760
hex31707de000

212340695040 has 672 divisors, whose sum is σ = 805244633856. Its totient is φ = 51527024640.

The previous prime is 212340695033. The next prime is 212340695069. The reversal of 212340695040 is 40596043212.

It is a happy number.

212340695040 is a `hidden beast` number, since 2 + 123 + 406 + 95 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212340694986 and 212340695004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194272734 + ... + 194273826.

Almost surely, 2212340695040 is an apocalyptic number.

212340695040 is a gapful number since it is divisible by the number (20) 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 212340695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402622316928).

212340695040 is an abundant number, since it is smaller than the sum of its proper divisors (592903938816).

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

212340695040 is a wasteful number, since it uses less digits than its factorization.

212340695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 212340695040 in words is "two hundred twelve billion, three hundred forty million, six hundred ninety-five thousand, forty".