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428676040576 = 2772151452633
BaseRepresentation
bin1100011110011110001…
…01010100011110000000
31111222111011121011110201
412033033011110132000
524010412031244301
6524533035134544
742653664136600
oct6171705243600
91458434534421
10428676040576
111558894a4093
126b0b68a4454
1331568629aa4
1416a68850c00
15b23e19d201
hex63cf154780

428676040576 has 96 divisors (see below), whose sum is σ = 1000013348880. Its totient is φ = 182501222400.

The previous prime is 428676040561. The next prime is 428676040579. The reversal of 428676040576 is 675040676824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428676040579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720756 + ... + 1173388.

Almost surely, 2428676040576 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 428676040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500006674440).

428676040576 is an abundant number, since it is smaller than the sum of its proper divisors (571337308304).

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

428676040576 is a wasteful number, since it uses less digits than its factorization.

428676040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452812 (or 452793 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 428676040576 in words is "four hundred twenty-eight billion, six hundred seventy-six million, forty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 151 196 224 302 392 448 604 784 896 1057 1208 1568 2114 2416 3136 4228 4832 6272 7399 8456 9664 14798 16912 19328 29596 33824 59192 67648 118384 135296 236768 452633 473536 905266 947072 1810532 3168431 3621064 6336862 7242128 12673724 14484256 22179017 25347448 28968512 44358034 50694896 57937024 68347583 88716068 101389792 136695166 177432136 202779584 273390332 354864272 405559168 478433081 546780664 709728544 956866162 1093561328 1419457088 1913732324 2187122656 2838914176 3349031567 3827464648 4374245312 6698063134 7654929296 8748490624 13396126268 15309858592 26792252536 30619717184 53584505072 61239434368 107169010144 214338020288 428676040576