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10114493928 = 2337115699619
BaseRepresentation
bin10010110101101111…
…01110110111101000
3222002220012112021020
421122313232313220
5131203302301203
64351352412440
7505434531330
oct113267566750
928086175236
1010114493928
114320405aa0
121b633a7120
13c52637166
146bd4480c0
153e2e77153
hex25adeede8

10114493928 has 128 divisors (see below), whose sum is σ = 31584384000. Its totient is φ = 2622251520.

The previous prime is 10114493923. The next prime is 10114493933. The reversal of 10114493928 is 82939441101.

It is an interprime number because it is at equal distance from previous prime (10114493923) and next prime (10114493933).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10114493928.

It is not an unprimeable number, because it can be changed into a prime (10114493923) 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, 1046703 + ... + 1056321.

It is an arithmetic number, because the mean of its divisors is an integer number (246753000).

Almost surely, 210114493928 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 10114493928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792192000).

10114493928 is an abundant number, since it is smaller than the sum of its proper divisors (21469890072).

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

10114493928 is a wasteful number, since it uses less digits than its factorization.

10114493928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10114493928 in words is "ten billion, one hundred fourteen million, four hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 569 616 924 1138 1707 1848 2276 3414 3983 4552 6259 6828 7966 9619 11949 12518 13656 15932 18777 19238 23898 25036 28857 31864 37554 38476 43813 47796 50072 57714 67333 75108 76952 87626 95592 105809 115428 131439 134666 150216 175252 201999 211618 230856 262878 269332 317427 350504 403998 423236 525756 538664 634854 740663 807996 846472 1051512 1269708 1481326 1615992 2221989 2539416 2962652 4443978 5473211 5925304 8887956 10946422 16419633 17775912 21892844 32839266 38312477 43785688 60205321 65678532 76624954 114937431 120410642 131357064 153249908 180615963 229874862 240821284 306499816 361231926 421437247 459749724 481642568 722463852 842874494 919499448 1264311741 1444927704 1685748988 2528623482 3371497976 5057246964 10114493928