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38812419540 = 2233573984587
BaseRepresentation
bin100100001001011001…
…101000010111010100
310201011220102012101000
4210021121220113110
51113441434411130
625455152503300
72542544060046
oct441131502724
9121156365330
1038812419540
1115507665294
12763224ab30
13387701902b
141c42991a96
151022601260
hex9096685d4

38812419540 has 96 divisors (see below), whose sum is σ = 122403980160. Its totient is φ = 10208187648.

The previous prime is 38812419511. The next prime is 38812419571. The reversal of 38812419540 is 4591421883.

38812419540 is a `hidden beast` number, since 3 + 8 + 81 + 24 + 1 + 9 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 452874 + ... + 531713.

It is an arithmetic number, because the mean of its divisors is an integer number (1275041460).

Almost surely, 238812419540 is an apocalyptic number.

38812419540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38812419540 is an abundant number, since it is smaller than the sum of its proper divisors (83591560620).

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

38812419540 is a wasteful number, since it uses less digits than its factorization.

38812419540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984678 (or 984670 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 38812419540 in words is "thirty-eight billion, eight hundred twelve million, four hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 984587 1969174 2953761 3938348 4922935 5907522 8861283 9845870 11815044 14768805 17722566 19691740 26583849 29537610 35445132 44306415 53167698 59075220 71874851 88612830 106335396 132919245 143749702 177225660 215624553 265838490 287499404 359374255 431249106 531676980 646873659 718748510 862498212 1078122765 1293747318 1437497020 1940620977 2156245530 2587494636 3234368295 3881241954 4312491060 6468736590 7762483908 9703104885 12937473180 19406209770 38812419540