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63419813216 = 25174712719531
BaseRepresentation
bin111011000100000111…
…011000110101100000
320001200211120022112222
4323010013120311200
52014340433010331
645045030410212
74403413342424
oct730407306540
9201624508488
1063419813216
1124994916381
121035b200968
135c990cc3c6
1430d8b3ab84
1519b2ac0b7b
hexec41d8d60

63419813216 has 96 divisors (see below), whose sum is σ = 136085225472. Its totient is φ = 28978145280.

The previous prime is 63419813207. The next prime is 63419813231. The reversal of 63419813216 is 61231891436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237371 + ... + 3256901.

It is an arithmetic number, because the mean of its divisors is an integer number (1417554432).

Almost surely, 263419813216 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 63419813216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68042612736).

63419813216 is an abundant number, since it is smaller than the sum of its proper divisors (72665412256).

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

63419813216 is a wasteful number, since it uses less digits than its factorization.

63419813216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732 (or 19724 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The spelling of 63419813216 in words is "sixty-three billion, four hundred nineteen million, eight hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 127 136 188 254 272 376 508 544 752 799 1016 1504 1598 2032 2159 3196 4064 4318 5969 6392 8636 11938 12784 17272 19531 23876 25568 34544 39062 47752 69088 78124 95504 101473 156248 191008 202946 312496 332027 405892 624992 664054 811784 917957 1328108 1623568 1835914 2480437 2656216 3247136 3671828 4960874 5312432 7343656 9921748 10624864 14687312 15605269 19843496 29374624 31210538 39686992 42167429 62421076 79373984 84334858 116580539 124842152 168669716 233161078 249684304 337339432 466322156 499368608 674678864 932644312 1349357728 1865288624 1981869163 3730577248 3963738326 7927476652 15854953304 31709906608 63419813216