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1076403231728 = 241143202970099
BaseRepresentation
bin11111010100111101010…
…00011101101111110000
310210220101101120201222022
433222132220131233300
5120113433211403403
62142254240531012
7140524163335526
oct17523650355760
93726341521868
101076403231728
11385555620810
12154745320a68
137a6731b24b6
143a153634316
151ceee0b0d38
hexfa9ea1dbf0

1076403231728 has 80 divisors (see below), whose sum is σ = 2329215504000. Its totient is φ = 477653379840.

The previous prime is 1076403231713. The next prime is 1076403231733. The reversal of 1076403231728 is 8271323046701.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 15320423 + ... + 15390521.

It is an arithmetic number, because the mean of its divisors is an integer number (29115193800).

Almost surely, 21076403231728 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 1076403231728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164607752000).

1076403231728 is an abundant number, since it is smaller than the sum of its proper divisors (1252812272272).

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

1076403231728 is a wasteful number, since it uses less digits than its factorization.

1076403231728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72190 (or 72184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 1076403231728 in words is "one trillion, seventy-six billion, four hundred three million, two hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 2029 3784 4058 7568 8116 16232 22319 32464 44638 70099 87247 89276 140198 174494 178552 280396 348988 357104 560792 697976 771089 959717 1121584 1395952 1542178 1919434 3014257 3084356 3838868 6028514 6168712 7677736 12057028 12337424 15355472 24114056 33156827 48228112 66313654 132627308 142230871 265254616 284461742 530509232 568923484 1137846968 1564539581 2275693936 3129079162 6115927453 6258158324 12231854906 12516316648 24463709812 25032633296 48927419624 67275201983 97854839248 134550403966 269100807932 538201615864 1076403231728