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4456942834552 = 231326173373727
BaseRepresentation
bin100000011011011011001…
…1111101001001101111000
3120210002011000020210002021
41000312312133221031320
51041010304331201202
613251254040444224
7640001125006045
oct100666637511570
916702130223067
104456942834552
1114691a704640a
125bb951179674
132643986b5a00
14115a07d4c1cc
157ae06a1ea37
hex40db67e9378

4456942834552 has 96 divisors (see below), whose sum is σ = 9210061946880. Its totient is φ = 2020540654080.

The previous prime is 4456942834517. The next prime is 4456942834627. The reversal of 4456942834552 is 2554382496544.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60415113 + ... + 60488839.

It is an arithmetic number, because the mean of its divisors is an integer number (95938145280).

Almost surely, 24456942834552 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 4456942834552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605030973440).

4456942834552 is an abundant number, since it is smaller than the sum of its proper divisors (4753119112328).

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

4456942834552 is a wasteful number, since it uses less digits than its factorization.

4456942834552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74553 (or 74536 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 61.

The spelling of 4456942834552 in words is "four trillion, four hundred fifty-six billion, nine hundred forty-two million, eight hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 676 733 793 1352 1466 1586 2932 3172 5864 6344 9529 10309 19058 20618 38116 41236 44713 73727 76232 82472 89426 123877 147454 178852 247754 294908 357704 495508 581269 589816 958451 991016 1162538 1916902 2325076 3833804 4497347 4650152 7556497 7667608 8994694 12459863 15112994 17989388 24919726 30225988 35978776 49839452 54041891 58465511 60451976 99678904 108083782 116931022 216167564 233862044 432335128 467724088 702544583 760051643 1405089166 1520103286 2810178332 3040206572 3296555351 5620356664 6080413144 6593110702 9133079579 13186221404 18266159158 26372442808 36532318316 42855219563 73064636632 85710439126 171420878252 342841756504 557117854319 1114235708638 2228471417276 4456942834552