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1026038540748 = 2231373751119971
BaseRepresentation
bin11101110111001001010…
…10011010100111001100
310122002101101112100101010
432323210222122213030
5113302311331300443
62103204450445220
7134062122461004
oct16734452324714
93562341470333
101026038540748
11366160009a61
12146a2a293810
13759a7a147c0
14379366d1004
151ba526ce733
hexeee4a9a9cc

1026038540748 has 96 divisors (see below), whose sum is σ = 2617071127552. Its totient is φ = 310962240000.

The previous prime is 1026038540729. The next prime is 1026038540809. The reversal of 1026038540748 is 8470458306201.

It is a junction number, because it is equal to n+sod(n) for n = 1026038540697 and 1026038540706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8492403 + ... + 8612373.

Almost surely, 21026038540748 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 1026038540748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308535563776).

1026038540748 is an abundant number, since it is smaller than the sum of its proper divisors (1591032586804).

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

1026038540748 is a wasteful number, since it uses less digits than its factorization.

1026038540748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120815 (or 120813 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1026038540748 in words is "one trillion, twenty-six billion, thirty-eight million, five hundred forty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 751 876 949 1502 1898 2253 2847 3004 3796 4506 5694 9012 9763 11388 19526 29289 39052 54823 58578 109646 117156 119971 164469 219292 239942 328938 359913 479884 657876 712699 719826 1425398 1439652 1559623 2138097 2850796 3119246 4276194 4678869 6238492 8552388 8757883 9357738 17515766 18715476 26273649 35031532 52547298 90098221 105094596 113852479 180196442 227704958 270294663 341557437 360392884 455409916 540589326 683114874 1081178652 1171276873 1366229748 2342553746 3513830619 4685107492 6577170133 7027661238 13154340266 14055322476 19731510399 26308680532 39463020798 78926041596 85503211729 171006423458 256509635187 342012846916 513019270374 1026038540748