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46712498742 = 23371323719763
BaseRepresentation
bin101011100000010010…
…000010101000110110
311110120110210210201000
4223200102002220312
51231131344424432
633243122544130
73242402454660
oct534022025066
9143513723630
1046712498742
11188a0a95768
129077b08046
134535945700
142391c89530
151335e6057c
hexae0482a36

46712498742 has 192 divisors, whose sum is σ = 131941301760. Its totient is φ = 11986206336.

The previous prime is 46712498711. The next prime is 46712498801. The reversal of 46712498742 is 24789421764.

46712498742 is a `hidden beast` number, since 46 + 71 + 2 + 498 + 7 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2353753 + ... + 2373515.

It is an arithmetic number, because the mean of its divisors is an integer number (687194280).

Almost surely, 246712498742 is an apocalyptic number.

46712498742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46712498742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65970650880).

46712498742 is an abundant number, since it is smaller than the sum of its proper divisors (85228803018).

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

46712498742 is a wasteful number, since it uses less digits than its factorization.

46712498742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19844 (or 19825 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 46712498742 in words is "forty-six billion, seven hundred twelve million, four hundred ninety-eight thousand, seven hundred forty-two".