Search a number
-
+
1026430020576 = 25334725276547
BaseRepresentation
bin11101110111110111111…
…11110010101111100000
310122010101200011120202000
432323323333302233200
5113304112041124301
62103311353324000
7134104615135422
oct16737377625740
93563350146660
101026430020576
11366340a95604
12146b19406600
1375a3ab61c7c
14379726b8812
151ba76c5d786
hexeefbff2be0

1026430020576 has 96 divisors (see below), whose sum is σ = 3057451246080. Its totient is φ = 334863681408.

The previous prime is 1026430020569. The next prime is 1026430020599. The reversal of 1026430020576 is 6750200346201.

1026430020576 is a `hidden beast` number, since 1 + 0 + 2 + 64 + 3 + 0 + 0 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1026430020576.

It is a congruent number.

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, 12597666 + ... + 12678881.

It is an arithmetic number, because the mean of its divisors is an integer number (31848450480).

Almost surely, 21026430020576 is an apocalyptic number.

1026430020576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1026430020576 is an abundant number, since it is smaller than the sum of its proper divisors (2031021225504).

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

1026430020576 is a wasteful number, since it uses less digits than its factorization.

1026430020576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25276613 (or 25276599 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 1026430020576 its reverse (6750200346201), we get a palindrome (7776630366777).

The spelling of 1026430020576 in words is "one trillion, twenty-six billion, four hundred thirty million, twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 25276547 50553094 75829641 101106188 151659282 202212376 227488923 303318564 404424752 454977846 606637128 682466769 808849504 909955692 1187997709 1213274256 1364933538 1819911384 2375995418 2426548512 2729867076 3563993127 3639822768 4751990836 5459734152 7127986254 7279645536 9503981672 10691979381 10919468304 14255972508 19007963344 21383958762 21838936608 28511945016 32075938143 38015926688 42767917524 57023890032 64151876286 85535835048 114047780064 128303752572 171071670096 256607505144 342143340192 513215010288 1026430020576