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10153053064 = 2371117395273
BaseRepresentation
bin10010111010010101…
…10100101110001000
3222012120202112110101
421131022310232020
5131243140144224
64355251055144
7506413345540
oct113512645610
928176675411
1010153053064
114340152050
121b742a14b4
13c5a617c0b
146c4604320
153e6542044
hex25d2b4b88

10153053064 has 64 divisors (see below), whose sum is σ = 23871853440. Its totient is φ = 3932828160.

The previous prime is 10153053049. The next prime is 10153053121. The reversal of 10153053064 is 46035035101.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 58932 + ... + 154204.

It is an arithmetic number, because the mean of its divisors is an integer number (372997710).

Almost surely, 210153053064 is an apocalyptic number.

10153053064 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 10153053064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935926720).

10153053064 is an abundant number, since it is smaller than the sum of its proper divisors (13718800376).

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

10153053064 is a wasteful number, since it uses less digits than its factorization.

10153053064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95470 (or 95466 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 10153053064 its reverse (46035035101), we get a palindrome (56188088165).

The spelling of 10153053064 in words is "ten billion, one hundred fifty-three million, fifty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 173 308 346 616 692 1211 1384 1903 2422 3806 4844 7612 9688 13321 15224 26642 53284 95273 106568 190546 381092 666911 762184 1048003 1333822 2096006 2667644 4192012 5335288 7336021 8384024 14672042 16482229 29344084 32964458 58688168 65928916 115375603 131857832 181304519 230751206 362609038 461502412 725218076 923004824 1269131633 1450436152 2538263266 5076526532 10153053064