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10153023424 = 261729439733
BaseRepresentation
bin10010111010010101…
…01101011111000000
3222012120201000210121
421131022231133000
5131243133222144
64355250310024
7506413163245
oct113512553700
928176630717
1010153023424
114340131855
121b74288314
13c5a60758b
146c45d75cc
153e6538384
hex25d2ad7c0

10153023424 has 112 divisors (see below), whose sum is σ = 22148596800. Its totient is φ = 4596350976.

The previous prime is 10153023409. The next prime is 10153023431. The reversal of 10153023424 is 42432035101.

10153023424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13850962 + ... + 13851694.

Almost surely, 210153023424 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 10153023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074298400).

10153023424 is an abundant number, since it is smaller than the sum of its proper divisors (11995573376).

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

10153023424 is a wasteful number, since it uses less digits than its factorization.

10153023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10153023424 its reverse (42432035101), we get a palindrome (52585058525).

The spelling of 10153023424 in words is "ten billion, one hundred fifty-three million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 439 464 493 544 733 878 928 986 1088 1466 1756 1856 1972 2932 3512 3944 5864 7024 7463 7888 11728 12461 12731 14048 14926 15776 21257 23456 24922 25462 28096 29852 31552 42514 46912 49844 50924 59704 85028 99688 101848 119408 170056 199376 203696 216427 238816 321787 340112 361369 398752 407392 432854 477632 643574 680224 722738 797504 814784 865708 1287148 1360448 1445476 1731416 2574296 2890952 3462832 5148592 5470379 5781904 6925664 9331823 10297184 10940758 11563808 13851328 18663646 20594368 21881516 23127616 37327292 43763032 74654584 87526064 149309168 158640991 175052128 298618336 317281982 350104256 597236672 634563964 1269127928 2538255856 5076511712 10153023424