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42463733197536 = 2533729415905063
BaseRepresentation
bin10011010011110110110111…
…01110111010101011100000
312120100111022120121010022000
421221323123232322223200
521031211211144310121
6230151323021044000
711641621615511250
oct1151733356725340
9176314276533260
1042463733197536
111259184a3a9932
12491990a3b6600
131a9040b472471
14a6b381723960
154d98a4968526
hex269edbbbaae0

42463733197536 has 384 divisors, whose sum is σ = 149998073702400. Its totient is φ = 11428420792320.

The previous prime is 42463733197519. The next prime is 42463733197547. The reversal of 42463733197536 is 63579133736424.

42463733197536 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 3 + 7 + 3 + 3 + 1 + 97 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4238541 + ... + 10143603.

It is an arithmetic number, because the mean of its divisors is an integer number (390619983600).

Almost surely, 242463733197536 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 42463733197536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74999036851200).

42463733197536 is an abundant number, since it is smaller than the sum of its proper divisors (107534340504864).

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

42463733197536 is a wasteful number, since it uses less digits than its factorization.

42463733197536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905159 (or 5905145 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 63.

The spelling of 42463733197536 in words is "forty-two trillion, four hundred sixty-three billion, seven hundred thirty-three million, one hundred ninety-seven thousand, five hundred thirty-six".