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1016016042576 = 243471667270163
BaseRepresentation
bin11101100100011110100…
…01100111101001010000
310121010111220102200120010
432302033101213221100
5113121300101330301
62054430141514520
7133255552603503
oct16621721475120
93533456380503
101016016042576
11361987628817
12144ab1872a40
1374a6b47ab02
143726559313a
151b66787a5d6
hexec8f467a50

1016016042576 has 80 divisors (see below), whose sum is σ = 2682170901504. Its totient is φ = 331266160512.

The previous prime is 1016016042563. The next prime is 1016016042577. The reversal of 1016016042576 is 6752406106101.

1016016042576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016016042577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625671 + ... + 3895833.

Almost surely, 21016016042576 is an apocalyptic number.

1016016042576 is a gapful number since it is divisible by the number (16) 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 1016016042576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341085450752).

1016016042576 is an abundant number, since it is smaller than the sum of its proper divisors (1666154858928).

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

1016016042576 is a wasteful number, since it uses less digits than its factorization.

1016016042576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271888 (or 271882 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 1016016042576 in words is "one trillion, sixteen billion, sixteen million, forty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1667 2256 3334 5001 6668 10002 13336 20004 26672 40008 78349 80016 156698 235047 270163 313396 470094 540326 626792 810489 940188 1080652 1253584 1620978 1880376 2161304 3241956 3760752 4322608 6483912 12697661 12967824 25395322 38092983 50790644 76185966 101581288 152371932 203162576 304743864 450361721 609487728 900723442 1351085163 1801446884 2702170326 3602893768 5404340652 7205787536 10808681304 21167000887 21617362608 42334001774 63501002661 84668003548 127002005322 169336007096 254004010644 338672014192 508008021288 1016016042576