Search a number
-
+
46441276203378 = 23723349464329669
BaseRepresentation
bin10101000111100111100111…
…10001010110000101110010
320002102202001101111022121210
422203303303301112011302
522041343213202002003
6242434454443500550
712532162055306250
oct1243636361260562
9202382041438553
1046441276203378
11138856a87713a1
125260769527756
131cbb516840874
14b67aac3235d0
1555809e124503
hex2a3cf3c56172

46441276203378 has 128 divisors (see below), whose sum is σ = 111111823872000. Its totient is φ = 12652506738432.

The previous prime is 46441276203317. The next prime is 46441276203431. The reversal of 46441276203378 is 87330267214464.

It is a super-2 number, since 2×464412762033782 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565298328 + ... + 1565327996.

It is an arithmetic number, because the mean of its divisors is an integer number (868061124000).

Almost surely, 246441276203378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46441276203378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55555911936000).

46441276203378 is an abundant number, since it is smaller than the sum of its proper divisors (64670547668622).

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

46441276203378 is a wasteful number, since it uses less digits than its factorization.

46441276203378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34696.

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 46441276203378 in words is "forty-six trillion, four hundred forty-one billion, two hundred seventy-six million, two hundred three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 349 483 698 966 1047 2094 2443 4643 4886 7329 8027 9286 13929 14658 16054 24081 27858 29669 32501 48162 56189 59338 65002 89007 97503 106789 112378 168567 178014 195006 207683 213578 320367 337134 415366 623049 640734 682387 747523 1246098 1364774 1495046 1620407 2047161 2242569 3240814 4094322 4485138 4776709 4861221 9553418 9722442 10354481 11342849 14330127 20708962 22685698 28660254 31063443 34028547 37269361 62126886 68057094 72481367 74538722 111808083 137753167 144962734 217444101 223616166 238153063 260885527 275506334 413259501 434888202 476306126 521771054 714459189 782656581 826519002 964272169 1428918378 1565313162 1667071441 1928544338 2892816507 3168322841 3334142882 5001214323 5785633014 6336645682 9504968523 10002428646 19009937046 22178259887 44356519774 48075855283 66534779661 96151710566 133069559322 144227565849 288455131698 336530986981 673061973962 1009592960943 1105744671509 2019185921886 2211489343018 3317234014527 6634468029054 7740212700563 15480425401126 23220638101689 46441276203378