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2430433985496 = 23311191907254083
BaseRepresentation
bin100011010111100001001…
…001111000001111011000
322121100101010022212111220
4203113201021320033120
5304310012100013441
65100305335052040
7340410264004536
oct43274111701730
98540333285456
102430433985496
11857817694a10
1233304b511020
1314825c14814a
14858c298b156
154334b678466
hex235e12783d8

2430433985496 has 128 divisors (see below), whose sum is σ = 6981008716800. Its totient is φ = 697363620480.

The previous prime is 2430433985467. The next prime is 2430433985509. The reversal of 2430433985496 is 6945893340342.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 9438471 + ... + 9692553.

It is an arithmetic number, because the mean of its divisors is an integer number (54539130600).

Almost surely, 22430433985496 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 2430433985496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490504358400).

2430433985496 is an abundant number, since it is smaller than the sum of its proper divisors (4550574731304).

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

2430433985496 is a wasteful number, since it uses less digits than its factorization.

2430433985496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256029 (or 256025 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 2430433985496 in words is "two trillion, four hundred thirty billion, four hundred thirty-three million, nine hundred eighty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 1907 2508 3814 5016 5721 7628 11442 15256 20977 22884 36233 41954 45768 62931 72466 83908 108699 125862 144932 167816 217398 251724 254083 289864 398563 434796 503448 508166 762249 797126 869592 1016332 1195689 1524498 1594252 2032664 2391378 2794913 3048996 3188504 4782756 4827577 5589826 6097992 8384739 9565512 9655154 11179652 14482731 16769478 19310308 22359304 28965462 33538956 38620616 53103347 57930924 67077912 106206694 115861848 159310041 212413388 318620082 424826776 484536281 637240164 969072562 1274480328 1453608843 1938145124 2907217686 3876290248 5329899091 5814435372 9206189339 10659798182 11628870744 15989697273 18412378678 21319596364 27618568017 31979394546 36824757356 42639192728 55237136034 63958789092 73649514712 101268082729 110474272068 127917578184 202536165458 220948544136 303804248187 405072330916 607608496374 810144661832 1215216992748 2430433985496