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611421210972 = 22341113267109139
BaseRepresentation
bin10001110010110111000…
…10110100100101011100
32011110011222212200120000
420321123202310211130
540004142312222342
61144514422254300
762113405354125
oct10713342644534
92143158780500
10611421210972
11216336374430
129a5b7887390
134586cc11b00
142184307b04c
1510d878b044c
hex8e5b8b495c

611421210972 has 720 divisors, whose sum is σ = 1947804566400. Its totient is φ = 165727710720.

The previous prime is 611421210949. The next prime is 611421210989. The reversal of 611421210972 is 279012124116.

611421210972 is a `hidden beast` number, since 6 + 11 + 421 + 210 + 9 + 7 + 2 = 666.

611421210972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4398713679 + ... + 4398713817.

It is an arithmetic number, because the mean of its divisors is an integer number (2705284120).

Almost surely, 2611421210972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611421210972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973902283200).

611421210972 is an abundant number, since it is smaller than the sum of its proper divisors (1336383355428).

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

611421210972 is a wasteful number, since it uses less digits than its factorization.

611421210972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 611421210972 in words is "six hundred eleven billion, four hundred twenty-one million, two hundred ten thousand, nine hundred seventy-two".