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7423820764734 = 23111723219996257
BaseRepresentation
bin110110000000111111000…
…1100110001011000111110
3222021201011211111120111210
41230001332030301120332
51433112441103432414
623442242311225250
71364232125220003
oct154017614613076
928251154446453
107423820764734
112402474312870
129ba952678226
1341b0a909921a
141b9459cd98aa
15cd19d4d1e59
hex6c07e33163e

7423820764734 has 192 divisors, whose sum is σ = 17940134016000. Its totient is φ = 2023917096960.

The previous prime is 7423820764733. The next prime is 7423820764741. The reversal of 7423820764734 is 4374670283247.

It is a super-2 number, since 2×74238207647342 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423820764733) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1186479334 + ... + 1186485590.

It is an arithmetic number, because the mean of its divisors is an integer number (93438198000).

Almost surely, 27423820764734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423820764734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970067008000).

7423820764734 is an abundant number, since it is smaller than the sum of its proper divisors (10516313251266).

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

7423820764734 is a wasteful number, since it uses less digits than its factorization.

7423820764734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 57.

The spelling of 7423820764734 in words is "seven trillion, four hundred twenty-three billion, eight hundred twenty million, seven hundred sixty-four thousand, seven hundred thirty-four".