Search a number
-
+
4052578563168 = 2531716714869447
BaseRepresentation
bin111010111110010000100…
…000010111010001100000
3112100102102011112110020120
4322332100200113101200
51012344140103010133
612341421235040240
7565534450264542
oct72762040272140
915312364473216
104052578563168
111322763a48363
12555500440080
13235205b43c85
141002082d1692
157063bde8ab3
hex3af90817460

4052578563168 has 96 divisors (see below), whose sum is σ = 11331233109504. Its totient is φ = 1263783954432.

The previous prime is 4052578563119. The next prime is 4052578563169. The reversal of 4052578563168 is 8613658752504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40525785631682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052578563169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7162180 + ... + 7707267.

It is an arithmetic number, because the mean of its divisors is an integer number (118033678224).

Almost surely, 24052578563168 is an apocalyptic number.

4052578563168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4052578563168 is an abundant number, since it is smaller than the sum of its proper divisors (7278654546336).

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

4052578563168 is a wasteful number, since it uses less digits than its factorization.

4052578563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14869644 (or 14869636 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 4052578563168 in words is "four trillion, fifty-two billion, five hundred seventy-eight million, five hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 167 204 272 334 408 501 544 668 816 1002 1336 1632 2004 2672 2839 4008 5344 5678 8016 8517 11356 16032 17034 22712 34068 45424 68136 90848 136272 272544 14869447 29738894 44608341 59477788 89216682 118955576 178433364 237911152 252780599 356866728 475822304 505561198 713733456 758341797 1011122396 1427466912 1516683594 2022244792 2483197649 3033367188 4044489584 4966395298 6066734376 7449592947 8088979168 9932790596 12133468752 14899185894 19865581192 24266937504 29798371788 39731162384 42214360033 59596743576 79462324768 84428720066 119193487152 126643080099 168857440132 238386974304 253286160198 337714880264 506572320396 675429760528 1013144640792 1350859521056 2026289281584 4052578563168