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10158154944 = 263712759513
BaseRepresentation
bin10010111010111100…
…10010010011000000
3222012221100201220220
421131132102103000
5131300441424234
64355552303040
7506504615040
oct113536222300
928187321826
1010158154944
114343017183
121b75b41a80
13c5b6b3192
146c5171720
153e6beda49
hex25d7924c0

10158154944 has 112 divisors (see below), whose sum is σ = 30958706688. Its totient is φ = 2879428608.

The previous prime is 10158154939. The next prime is 10158154967. The reversal of 10158154944 is 44945185101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101581549442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10158154896 and 10158154905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140932 + ... + 200444.

It is an arithmetic number, because the mean of its divisors is an integer number (276417024).

Almost surely, 210158154944 is an apocalyptic number.

10158154944 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 10158154944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479353344).

10158154944 is an abundant number, since it is smaller than the sum of its proper divisors (20800551744).

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

10158154944 is a wasteful number, since it uses less digits than its factorization.

10158154944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59662 (or 59652 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 10158154944 in words is "ten billion, one hundred fifty-eight million, one hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 672 762 889 1016 1344 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 8128 10668 12192 14224 21336 24384 28448 42672 56896 59513 85344 119026 170688 178539 238052 357078 416591 476104 714156 833182 952208 1249773 1428312 1666364 1904416 2499546 2856624 3332728 3808832 4999092 5713248 6665456 7558151 9998184 11426496 13330912 15116302 19996368 22674453 26661824 30232604 39992736 45348906 52907057 60465208 79985472 90697812 105814114 120930416 158721171 181395624 211628228 241860832 317442342 362791248 423256456 483721664 634884684 725582496 846512912 1269769368 1451164992 1693025824 2539538736 3386051648 5079077472 10158154944