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2038801998048 = 253372412381689
BaseRepresentation
bin11101101010110010000…
…100011010000011100000
321012220111121122120201220
4131222302010122003200
5231400431302414143
64200340202255040
7300204262021554
oct35526204320340
97186447576656
102038801998048
11716718638272
1228b1727b7480
1311a348371a2a
147096dccb864
1538079720d83
hex1dab211a0e0

2038801998048 has 96 divisors (see below), whose sum is σ = 5519309352480. Its totient is φ = 658489098240.

The previous prime is 2038801998047. The next prime is 2038801998053. The reversal of 2038801998048 is 8408991088302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2038801997982 and 2038801998000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038801998047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334813 + ... + 2046876.

It is an arithmetic number, because the mean of its divisors is an integer number (57492805755).

Almost surely, 22038801998048 is an apocalyptic number.

It is an amenable number.

2038801998048 is an abundant number, since it is smaller than the sum of its proper divisors (3480507354432).

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

2038801998048 is a wasteful number, since it uses less digits than its factorization.

2038801998048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381980 (or 2381972 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 2038801998048 in words is "two trillion, thirty-eight billion, eight hundred one million, nine hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 241 296 444 482 592 723 888 964 1184 1446 1776 1928 2892 3552 3856 5784 7712 8917 11568 17834 23136 26751 35668 53502 71336 107004 142672 214008 285344 428016 856032 2381689 4763378 7145067 9526756 14290134 19053512 28580268 38107024 57160536 76214048 88122493 114321072 176244986 228642144 264367479 352489972 528734958 573987049 704979944 1057469916 1147974098 1409959888 1721961147 2114939832 2295948196 2819919776 3443922294 4229879664 4591896392 6887844588 8459759328 9183792784 13775689176 18367585568 21237520813 27551378352 42475041626 55102756704 63712562439 84950083252 127425124878 169900166504 254850249756 339800333008 509700499512 679600666016 1019400999024 2038801998048