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10139483024 = 24112341199307
BaseRepresentation
bin10010111000101110…
…00011101110010000
3222011122020002212022
421130113003232100
5131231201424044
64354044151012
7506160116666
oct113427035620
928148202768
1010139483024
114333523740
121b6b838468
13c578763c8
146c28b0c36
153e52613ee
hex25c5c3b90

10139483024 has 160 divisors (see below), whose sum is σ = 23098521600. Its totient is φ = 4265395200.

The previous prime is 10139482993. The next prime is 10139483027. The reversal of 10139483024 is 42038493101.

It is a Cunningham number, because it is equal to 1006952-1.

It is not an unprimeable number, because it can be changed into a prime (10139483027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33027479 + ... + 33027785.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 210139483024 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 10139483024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549260800).

10139483024 is an abundant number, since it is smaller than the sum of its proper divisors (12959038576).

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

10139483024 is a wasteful number, since it uses less digits than its factorization.

10139483024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10139483024 in words is "ten billion, one hundred thirty-nine million, four hundred eighty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 41 44 46 82 88 92 164 176 184 199 253 307 328 368 398 451 506 614 656 796 902 943 1012 1228 1592 1804 1886 2024 2189 2456 3184 3377 3608 3772 4048 4378 4577 4912 6754 7061 7216 7544 8159 8756 9154 10373 12587 13508 14122 15088 16318 17512 18308 20746 25174 27016 28244 32636 35024 36616 41492 50347 50348 54032 56488 61093 65272 73232 77671 82984 89749 100694 100696 112976 122186 130544 138457 155342 165968 179498 187657 201388 201392 244372 276914 289501 310684 358996 375314 402776 488744 553828 579002 621368 672023 717992 750628 805552 977488 1107656 1158004 1242736 1344046 1405139 1435984 1501256 2064227 2215312 2316008 2504813 2688092 2810278 3002512 3184511 4128454 4632016 5009626 5376184 5620556 6369022 8256908 10019252 10752368 11241112 12738044 15456529 16513816 20038504 22482224 25476088 27552943 30913058 33027632 40077008 50952176 55105886 57610699 61826116 110211772 115221398 123652232 220423544 230442796 247304464 440847088 460885592 633717689 921771184 1267435378 2534870756 5069741512 10139483024