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10940945238 = 235172611277
BaseRepresentation
bin10100011000010000…
…11001001101010110
31001020111022121100000
422030020121031112
5134401340221423
65005354232130
7535061333346
oct121410311526
931214277300
1010940945238
114704973103
122154125646
13105491b9c2
1475b0dad26
154407c6843
hex28c219356

10940945238 has 144 divisors (see below), whose sum is σ = 26563393584. Its totient is φ = 3373539840.

The previous prime is 10940945209. The next prime is 10940945263. The reversal of 10940945238 is 83254904901.

10940945238 is a `hidden beast` number, since 1 + 0 + 9 + 409 + 4 + 5 + 238 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10940945193 and 10940945202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8567056 + ... + 8568332.

It is an arithmetic number, because the mean of its divisors is an integer number (184468011).

Almost surely, 210940945238 is an apocalyptic number.

10940945238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940945238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281696792).

10940945238 is an abundant number, since it is smaller than the sum of its proper divisors (15622448346).

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

10940945238 is a wasteful number, since it uses less digits than its factorization.

10940945238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10940945238 in words is "ten billion, nine hundred forty million, nine hundred forty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 81 102 122 153 162 183 243 289 306 366 459 486 549 578 867 918 1037 1098 1277 1377 1647 1734 2074 2554 2601 2754 3111 3294 3831 4131 4941 5202 6222 7662 7803 8262 9333 9882 11493 14823 15606 17629 18666 21709 22986 23409 27999 29646 34479 35258 43418 46818 52887 55998 65127 68958 70227 77897 83997 103437 105774 130254 140454 155794 158661 167994 195381 206874 233691 251991 310311 317322 369053 390762 467382 475983 503982 586143 620622 701073 738106 951966 1107159 1172286 1324249 1402146 1427949 1758429 2103219 2214318 2648498 2855898 3321477 3516858 3972747 4206438 4283847 5275287 6309657 6642954 7945494 8567694 9964431 10550574 11918241 12619314 18928971 19928862 22512233 23836482 29893293 35754723 37857942 45024466 59786586 67536699 71509446 89679879 107264169 135073398 179359758 202610097 214528338 321792507 405220194 607830291 643585014 1215660582 1823490873 3646981746 5470472619 10940945238