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10150295328 = 253424116249
BaseRepresentation
bin10010111010000000…
…10011011100100000
3222012101120102120000
421131000103130200
5131241433422303
64355112020000
7506351041515
oct113500233440
928171512500
1010150295328
114339639128
121b73391600
13c59b90914
146c40c730c
153e6199da3
hex25d013720

10150295328 has 120 divisors (see below), whose sum is σ = 29977447500. Its totient is φ = 3369185280.

The previous prime is 10150295321. The next prime is 10150295333. The reversal of 10150295328 is 82359205101.

It can be written as a sum of positive squares in 2 ways, for example, as 9822395664 + 327899664 = 99108^2 + 18108^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10150295292 and 10150295301.

It is not an unprimeable number, because it can be changed into a prime (10150295321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 616548 + ... + 632796.

Almost surely, 210150295328 is an apocalyptic number.

10150295328 is a gapful number since it is divisible by the number (18) 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 10150295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988723750).

10150295328 is an abundant number, since it is smaller than the sum of its proper divisors (19827152172).

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

10150295328 is a wasteful number, since it uses less digits than its factorization.

10150295328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10150295328 in words is "ten billion, one hundred fifty million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 288 324 432 482 648 723 864 964 1296 1446 1928 2169 2592 2892 3856 4338 5784 6507 7712 8676 11568 13014 16249 17352 19521 23136 26028 32498 34704 39042 48747 52056 64996 69408 78084 97494 104112 129992 146241 156168 194988 208224 259984 292482 312336 389976 438723 519968 584964 624672 779952 877446 1169928 1316169 1559904 1754892 2339856 2632338 3509784 3916009 4679712 5264676 7019568 7832018 10529352 11748027 14039136 15664036 21058704 23496054 31328072 35244081 42117408 46992108 62656144 70488162 93984216 105732243 125312288 140976324 187968432 211464486 281952648 317196729 375936864 422928972 563905296 634393458 845857944 1127810592 1268786916 1691715888 2537573832 3383431776 5075147664 10150295328