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1003264098928 = 247136591045607
BaseRepresentation
bin11101001100101110011…
…00110100001001110000
310112220121012101211102221
432212113030310021300
5112414141102131203
62044520531250424
7132324551064310
oct16462714641160
93486535354387
101003264098928
11357533479813
12142533149a14
13737b85bac20
14367b5b59440
151b16d0c6abd
hexe997334270

1003264098928 has 80 divisors (see below), whose sum is σ = 2396031644160. Its totient is φ = 396293038848.

The previous prime is 1003264098923. The next prime is 1003264098997. The reversal of 1003264098928 is 8298904623001.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003264098923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436701 + ... + 1482307.

It is an arithmetic number, because the mean of its divisors is an integer number (29950395552).

Almost surely, 21003264098928 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 1003264098928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198015822080).

1003264098928 is an abundant number, since it is smaller than the sum of its proper divisors (1392767545232).

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

1003264098928 is a wasteful number, since it uses less digits than its factorization.

1003264098928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046294 (or 1046288 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 1003264098928 in words is "one trillion, three billion, two hundred sixty-four million, ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 659 728 1318 1456 2636 4613 5272 8567 9226 10544 17134 18452 34268 36904 59969 68536 73808 119938 137072 239876 479752 959504 1045607 2091214 4182428 7319249 8364856 13592891 14638498 16729712 27185782 29276996 54371564 58553992 95150237 108743128 117107984 190300474 217486256 380600948 689055013 761201896 1378110026 1522403792 2756220052 4823385091 5512440104 8957715169 9646770182 11024880208 17915430338 19293540364 35830860676 38587080728 62704006183 71661721352 77174161456 125408012366 143323442704 250816024732 501632049464 1003264098928