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10938424848 = 24313373831237
BaseRepresentation
bin10100010111111101…
…10001111000010000
31001020022120120000020
422023332301320100
5134400214043343
65005224223440
7535031035311
oct121376617020
931208516006
1010938424848
11470350153a
12215330ab80
131054248750
1475aa42608
15440479b83
hex28bfb1e10

10938424848 has 160 divisors (see below), whose sum is σ = 31360659456. Its totient is φ = 3263514624.

The previous prime is 10938424843. The next prime is 10938424853. The reversal of 10938424848 is 84842483901.

10938424848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10938424843) and next prime (10938424853).

It is a self number, because there is not a number n which added to its sum of digits gives 10938424848.

It is not an unprimeable number, because it can be changed into a prime (10938424843) 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, 8842086 + ... + 8843322.

Almost surely, 210938424848 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 10938424848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680329728).

10938424848 is an abundant number, since it is smaller than the sum of its proper divisors (20422234608).

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

10938424848 is a wasteful number, since it uses less digits than its factorization.

10938424848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 10938424848 in words is "ten billion, nine hundred thirty-eight million, four hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 383 444 481 592 624 766 888 962 1149 1237 1443 1532 1776 1924 2298 2474 2886 3064 3711 3848 4596 4948 4979 5772 6128 7422 7696 9192 9896 9958 11544 14171 14844 14937 16081 18384 19792 19916 23088 28342 29688 29874 32162 39832 42513 45769 48243 56684 59376 59748 64324 79664 85026 91538 96486 113368 119496 128648 137307 170052 183076 184223 192972 226736 238992 257296 274614 340104 366152 368446 385944 473771 549228 552669 594997 680208 732304 736892 771888 947542 1098456 1105338 1189994 1421313 1473784 1784991 1895084 2196912 2210676 2379988 2842626 2947568 3569982 3790168 4421352 4759976 5685252 6159023 7139964 7580336 8842704 9519952 11370504 12318046 14279928 17529527 18477069 22741008 24636092 28559856 35059054 36954138 49272184 52588581 70118108 73908276 98544368 105177162 140236216 147816552 210354324 227883851 280472432 295633104 420708648 455767702 683651553 841417296 911535404 1367303106 1823070808 2734606212 3646141616 5469212424 10938424848