Search a number
-
+
41685088368 = 24371148723159
BaseRepresentation
bin100110110100100111…
…111111100001110000
310222121002211220011210
4212310213333201300
51140332340311433
631052212040120
73003665255610
oct466447774160
9128532756153
1041685088368
1116751166960
1280b4303040
133c1420a781
1420362d0a40
15113e8e2463
hex9b49ff870

41685088368 has 160 divisors (see below), whose sum is σ = 134539960320. Its totient is φ = 10804596480.

The previous prime is 41685088351. The next prime is 41685088373. The reversal of 41685088368 is 86388058614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788373 + ... + 1811531.

It is an arithmetic number, because the mean of its divisors is an integer number (840874752).

Almost surely, 241685088368 is an apocalyptic number.

41685088368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41685088368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67269980160).

41685088368 is an abundant number, since it is smaller than the sum of its proper divisors (92854871952).

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

41685088368 is a wasteful number, since it uses less digits than its factorization.

41685088368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23675 (or 23669 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 41685088368 in words is "forty-one billion, six hundred eighty-five million, eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 487 528 616 924 974 1232 1461 1848 1948 2922 3409 3696 3896 5357 5844 6818 7792 10227 10714 11688 13636 16071 20454 21428 23159 23376 27272 32142 37499 40908 42856 46318 54544 64284 69477 74998 81816 85712 92636 112497 128568 138954 149996 162113 163632 185272 224994 254749 257136 277908 299992 324226 370544 449988 486339 509498 555816 599984 648452 764247 899976 972678 1018996 1111632 1296904 1528494 1783243 1799952 1945356 2037992 2593808 3056988 3566486 3890712 4075984 5349729 6113976 7132972 7781424 10699458 11278433 12227952 14265944 21398916 22556866 28531888 33835299 42797832 45113732 67670598 78949031 85595664 90227464 124062763 135341196 157898062 180454928 236847093 248125526 270682392 315796124 372188289 473694186 496251052 541364784 631592248 744376578 868439341 947388372 992502104 1263184496 1488753156 1736878682 1894776744 1985004208 2605318023 2977506312 3473757364 3789553488 5210636046 5955012624 6947514728 10421272092 13895029456 20842544184 41685088368