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10150248066 = 2372941439463
BaseRepresentation
bin10010111010000000…
…00111111010000010
3222012101111000201120
421131000013322002
5131241430414231
64355111013110
7506350453650
oct113500077202
928171430646
1010150248066
114339606672
121b7336a196
13c59b7525a
146c40b3dd0
153e618ad96
hex25d007e82

10150248066 has 128 divisors (see below), whose sum is σ = 24695193600. Its totient is φ = 2719664640.

The previous prime is 10150248047. The next prime is 10150248079. The reversal of 10150248066 is 66084205101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21922551 + ... + 21923013.

It is an arithmetic number, because the mean of its divisors is an integer number (192931200).

Almost surely, 210150248066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150248066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347596800).

10150248066 is an abundant number, since it is smaller than the sum of its proper divisors (14544945534).

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

10150248066 is a wasteful number, since it uses less digits than its factorization.

10150248066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10150248066 in words is "ten billion, one hundred fifty million, two hundred forty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 29 41 42 58 82 87 123 174 203 246 287 406 439 463 574 609 861 878 926 1189 1218 1317 1389 1722 2378 2634 2778 3073 3241 3567 6146 6482 7134 8323 9219 9723 12731 13427 16646 17999 18438 18983 19446 24969 25462 26854 35998 37966 38193 40281 49938 53997 56949 76386 80562 89117 93989 107994 113898 125993 132881 178234 187978 203257 251986 265762 267351 281967 377979 398643 406514 521971 534702 550507 563934 609771 755958 797286 1043942 1101014 1219542 1422799 1565913 1651521 2845598 3131826 3303042 3653797 3853549 4268397 5894453 7307594 7707098 8333537 8536794 10961391 11560647 11788906 16667074 17683359 21922782 23121294 25000611 35366718 41261171 50001222 58334759 82522342 116669518 123783513 175004277 241672573 247567026 350008554 483345146 725017719 1450035438 1691708011 3383416022 5075124033 10150248066