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38098567980 = 2232511175910939
BaseRepresentation
bin100011011110110110…
…100000001100101100
310122100011011210010100
4203132312200030230
51111011213133410
625300252311100
72516055325134
oct433666401454
9118304153110
1038098567980
1115180715020
127473172490
133792169c65
141bb5c4dac4
15eceae48c0
hex8deda032c

38098567980 has 144 divisors (see below), whose sum is σ = 126154828800. Its totient is φ = 9229921920.

The previous prime is 38098567951. The next prime is 38098568033. The reversal of 38098567980 is 8976589083.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3477351 + ... + 3488289.

It is an arithmetic number, because the mean of its divisors is an integer number (876075200).

Almost surely, 238098567980 is an apocalyptic number.

38098567980 is a gapful number since it is divisible by the number (30) 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 38098567980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63077414400).

38098567980 is an abundant number, since it is smaller than the sum of its proper divisors (88056260820).

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

38098567980 is a wasteful number, since it uses less digits than its factorization.

38098567980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 38098567980 in words is "thirty-eight billion, ninety-eight million, five hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1759 1980 3518 5277 7036 8795 10554 10939 15831 17590 19349 21108 21878 26385 31662 32817 35180 38698 43756 52770 54695 58047 63324 65634 77396 79155 96745 98451 105540 109390 116094 120329 131268 158310 164085 174141 193490 196902 218780 232188 240658 290235 316620 328170 348282 360987 386980 393804 481316 492255 580470 601645 656340 696564 721974 870705 984510 1082961 1160940 1203290 1443948 1741410 1804935 1969020 2165922 2406580 3482820 3609870 4331844 5414805 7219740 10829610 19241701 21659220 38483402 57725103 76966804 96208505 115450206 173175309 192417010 211658711 230900412 288625515 346350618 384834020 423317422 577251030 634976133 692701236 846634844 865876545 1058293555 1154502060 1269952266 1731753090 1904928399 2116587110 2539904532 3174880665 3463506180 3809856798 4233174220 6349761330 7619713596 9524641995 12699522660 19049283990 38098567980