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63472346106 = 2313172313115887
BaseRepresentation
bin111011000111001111…
…110010001111111010
320001211111102021010120
4323013033302033322
52014442410033411
645054144354110
74404622016511
oct730717621772
9201744367116
1063472346106
1124a11537094
1210374915936
135ca6c63660
143101ad3678
1519b74eb106
hexec73f23fa

63472346106 has 128 divisors (see below), whose sum is σ = 152207548416. Its totient is φ = 17446640640.

The previous prime is 63472346099. The next prime is 63472346107. The reversal of 63472346106 is 60164327436.

It is not an unprimeable number, because it can be changed into a prime (63472346107) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3987295 + ... + 4003181.

It is an arithmetic number, because the mean of its divisors is an integer number (1189121472).

Almost surely, 263472346106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63472346106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76103774208).

63472346106 is an abundant number, since it is smaller than the sum of its proper divisors (88735202310).

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

63472346106 is a wasteful number, since it uses less digits than its factorization.

63472346106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 63472346106 in words is "sixty-three billion, four hundred seventy-two million, three hundred forty-six thousand, one hundred six".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 131 138 221 262 299 391 393 442 598 663 782 786 897 1173 1326 1703 1794 2227 2346 3013 3406 4454 5083 5109 6026 6681 9039 10166 10218 13362 15249 15887 18078 28951 30498 31774 39169 47661 51221 57902 78338 86853 95322 102442 117507 153663 173706 206531 235014 270079 307326 365401 413062 540158 619593 665873 730802 810237 1096203 1239186 1331746 1620474 1997619 2081197 2192406 3511027 3995238 4162394 4750213 6211817 6243591 7022054 9500426 10533081 12423634 12487182 14250639 18635451 21066162 27055561 28501278 35380349 37270902 47867531 54111122 70760698 80753621 81166683 95735062 106141047 143602593 161507242 162333366 212282094 242260863 287205186 459944537 484521726 622277903 813748027 919889074 1244555806 1379833611 1627496054 1866833709 2441244081 2759667222 3733667418 4882488162 10578724351 21157448702 31736173053 63472346106