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63507445040 = 2451353221739
BaseRepresentation
bin111011001001010101…
…101011010100110000
320001220221110110211002
4323021111223110300
52020030401220130
645101440541132
74405526242664
oct731125532460
9201827413732
1063507445040
1124a2a32a476
12103846217a8
135cb1302460
14310662c8a4
1519ba630b45
hexec956b530

63507445040 has 120 divisors (see below), whose sum is σ = 162077178480. Its totient is φ = 23005412352.

The previous prime is 63507445031. The next prime is 63507445063. The reversal of 63507445040 is 4054470536.

It is a happy number.

63507445040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63507444985 and 63507445003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2910491 + ... + 2932229.

It is an arithmetic number, because the mean of its divisors is an integer number (1350643154).

Almost surely, 263507445040 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 63507445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81038589240).

63507445040 is an abundant number, since it is smaller than the sum of its proper divisors (98569733440).

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

63507445040 is a wasteful number, since it uses less digits than its factorization.

63507445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21871 (or 21812 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 63507445040 in words is "sixty-three billion, five hundred seven million, four hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 2809 3445 4240 5512 5618 6890 11024 11236 13780 14045 21739 22472 27560 28090 36517 43478 44944 55120 56180 73034 86956 108695 112360 146068 173912 182585 217390 224720 282607 292136 347824 365170 434780 565214 584272 730340 869560 1130428 1152167 1413035 1460680 1739120 2260856 2304334 2826070 2921360 4521712 4608668 5652140 5760835 9217336 11304280 11521670 14978171 18434672 22608560 23043340 29956342 46086680 59912684 61064851 74890855 92173360 119825368 122129702 149781710 239650736 244259404 299563420 305324255 488518808 599126840 610648510 793843063 977037616 1198253680 1221297020 1587686126 2442594040 3175372252 3969215315 4885188080 6350744504 7938430630 12701489008 15876861260 31753722520 63507445040