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10270029924 = 22327115776421
BaseRepresentation
bin10011001000010010…
…00011100001100100
3222111201212120112200
421210021003201210
5132013111424144
64415030214500
7512333546130
oct114411034144
928451776480
1010270029924
1143a0189540
121ba74b4430
13c78923aab
146d5d743c0
1540194bc69
hex264243864

10270029924 has 144 divisors (see below), whose sum is σ = 32427298176. Its totient is φ = 2662502400.

The previous prime is 10270029923. The next prime is 10270029961. The reversal of 10270029924 is 42992007201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10270029923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596234 + ... + 1602654.

Almost surely, 210270029924 is an apocalyptic number.

10270029924 is a gapful number since it is divisible by the number (14) 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 10270029924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213649088).

10270029924 is an abundant number, since it is smaller than the sum of its proper divisors (22157268252).

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

10270029924 is a wasteful number, since it uses less digits than its factorization.

10270029924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10270029924 in words is "ten billion, two hundred seventy million, twenty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 577 693 924 1154 1386 1731 2308 2772 3462 4039 5193 6347 6421 6924 8078 10386 12117 12694 12842 16156 19041 19263 20772 24234 25388 25684 36351 38082 38526 44429 44947 48468 57123 57789 70631 72702 76164 77052 88858 89894 114246 115578 133287 134841 141262 145404 177716 179788 211893 228492 231156 266574 269682 282524 399861 404523 423786 494417 533148 539364 635679 799722 809046 847572 988834 1271358 1483251 1599444 1618092 1977668 2542716 2966502 3704917 4449753 5933004 7409834 8899506 11114751 14819668 17799012 22229502 25934419 33344253 40754087 44459004 51868838 66688506 77803257 81508174 103737676 122262261 133377012 155606514 163016348 233409771 244524522 285278609 311213028 366786783 466819542 489049044 570557218 733573566 855835827 933639084 1141114436 1467147132 1711671654 2567507481 3423343308 5135014962 10270029924