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11938948944 = 24313791271907
BaseRepresentation
bin10110001111001110…
…11110011101010000
31010211001020110001020
423013213132131100
5143422332331234
65252405035440
7601600251216
oct130747363520
933731213036
1011938948944
11507725305a
1223923b5b80
13118360a340
14813888cb6
1549d211549
hex2c79de750

11938948944 has 160 divisors (see below), whose sum is σ = 33917829120. Its totient is φ = 3596576256.

The previous prime is 11938948943. The next prime is 11938948963. The reversal of 11938948944 is 44984983911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938948943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6259639 + ... + 6261545.

It is an arithmetic number, because the mean of its divisors is an integer number (211986432).

Almost surely, 211938948944 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 11938948944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958914560).

11938948944 is an abundant number, since it is smaller than the sum of its proper divisors (21978880176).

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

11938948944 is a wasteful number, since it uses less digits than its factorization.

11938948944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The spelling of 11938948944 in words is "eleven billion, nine hundred thirty-eight million, nine hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 127 156 158 208 237 254 312 316 381 474 508 624 632 762 948 1016 1027 1264 1524 1651 1896 1907 2032 2054 3048 3081 3302 3792 3814 4108 4953 5721 6096 6162 6604 7628 8216 9906 10033 11442 12324 13208 15256 16432 19812 20066 22884 24648 24791 26416 30099 30512 39624 40132 45768 49296 49582 60198 74373 79248 80264 91536 99164 120396 130429 148746 150653 160528 198328 240792 242189 260858 297492 301306 391287 396656 451959 481584 484378 521716 594984 602612 726567 782574 903918 968756 1043432 1189968 1205224 1453134 1565148 1807836 1937512 1958489 2086864 2410448 2906268 3130296 3148457 3615672 3875024 3916978 5812536 5875467 6260592 6296914 7231344 7833956 9445371 11625072 11750934 12593828 15667912 18890742 19132931 23501868 25187656 31335824 37781484 38265862 47003736 50375312 57398793 75562968 76531724 94007472 114797586 151125936 153063448 229595172 248728103 306126896 459190344 497456206 746184309 918380688 994912412 1492368618 1989824824 2984737236 3979649648 5969474472 11938948944