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161938034104 = 237111731634889
BaseRepresentation
bin1001011011010001000…
…0100100110110111000
3120110222201222110222211
42112310100210312320
510123122114042404
6202220542024504
714461655402260
oct2266420446670
9513881873884
10161938034104
116274a886940
1227474878134
1312369929272
147ba307c7a0
15432bbaeb04
hex25b4424db8

161938034104 has 128 divisors (see below), whose sum is σ = 401033203200. Its totient is φ = 59350487040.

The previous prime is 161938034101. The next prime is 161938034123. The reversal of 161938034104 is 401430839161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161938034101) 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 31 ways as a sum of consecutive naturals, for example, 33120492 + ... + 33125380.

It is an arithmetic number, because the mean of its divisors is an integer number (3133071900).

Almost surely, 2161938034104 is an apocalyptic number.

161938034104 is a gapful number since it is divisible by the number (14) 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 161938034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200516601600).

161938034104 is an abundant number, since it is smaller than the sum of its proper divisors (239095169096).

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

161938034104 is a wasteful number, since it uses less digits than its factorization.

161938034104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 161938034104 in words is "one hundred sixty-one billion, nine hundred thirty-eight million, thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 3163 4889 5236 6326 9778 10472 12652 19556 22141 25304 34223 34793 39112 44282 53771 53779 68446 69586 83113 88564 107542 107558 136892 139172 166226 177128 215084 215116 243551 273784 278344 332452 376397 376453 430168 430232 487102 581791 591481 664904 752794 752906 914243 974204 1163582 1182962 1505588 1505812 1828486 1948408 2327164 2365924 3011176 3011624 3656972 4140367 4654328 4731848 6399701 7313944 8280734 12799402 15463907 16561468 25598804 30927814 33122936 51197608 61855628 108247349 123711256 170102977 216494698 262886419 340205954 432989396 525772838 680411908 865978792 1051545676 1190720839 1360823816 1840204933 2103091352 2381441678 2891750609 3680409866 4762883356 5783501218 7360819732 9525766712 11567002436 14721639464 20242254263 23134004872 40484508526 80969017052 161938034104