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42488192576 = 266727673581
BaseRepresentation
bin100111100100011111…
…100101111001000000
311001200002000211001002
4213210133211321000
51144003434130301
631304021231132
73032616451364
oct474437457100
9131602024032
1042488192576
1117023527a45
1282992624a8
13401170956b
1420b0c272a4
15118a17e16b
hex9e47e5e40

42488192576 has 56 divisors (see below), whose sum is σ = 85625732736. Its totient is φ = 20913615360.

The previous prime is 42488192471. The next prime is 42488192603. The reversal of 42488192576 is 67529188424.

42488192576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11863106 + ... + 11866686.

Almost surely, 242488192576 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 42488192576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42812866368).

42488192576 is an abundant number, since it is smaller than the sum of its proper divisors (43137540160).

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

42488192576 is a wasteful number, since it uses less digits than its factorization.

42488192576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6417 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 56.

The spelling of 42488192576 in words is "forty-two billion, four hundred eighty-eight million, one hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 2767 3581 4288 5534 7162 11068 14324 22136 28648 44272 57296 88544 114592 177088 185389 229184 239927 370778 479854 741556 959708 1483112 1919416 2966224 3838832 5932448 7677664 9908627 11864896 15355328 19817254 39634508 79269016 158538032 317076064 634152128 663878009 1327756018 2655512036 5311024072 10622048144 21244096288 42488192576