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1074001103328 = 25316787666439
BaseRepresentation
bin11111010000011110111…
…01000100100111100000
310210200011222112222021210
433220033131010213200
5120044023240301303
62141220030550120
7140410514515656
oct17501735044740
93720158488253
101074001103328
1138453269512a
12154194968340
137a37c62cb4a
1439da65bcdd6
151ce0d269203
hexfa0f7449e0

1074001103328 has 48 divisors (see below), whose sum is σ = 2819425069440. Its totient is φ = 357978504576.

The previous prime is 1074001103317. The next prime is 1074001103353. The reversal of 1074001103328 is 8233011004701.

1074001103328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10740011033282 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1074001103295 and 1074001103304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278333 + ... + 1944771.

It is an arithmetic number, because the mean of its divisors is an integer number (58738022280).

Almost surely, 21074001103328 is an apocalyptic number.

It is an amenable number.

1074001103328 is an abundant number, since it is smaller than the sum of its proper divisors (1745423966112).

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

1074001103328 is a wasteful number, since it uses less digits than its factorization.

1074001103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683239 (or 683231 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 1074001103328 in words is "one trillion, seventy-four billion, one million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 16787 33574 50361 67148 100722 134296 201444 268592 402888 537184 666439 805776 1332878 1611552 1999317 2665756 3998634 5331512 7997268 10663024 15994536 21326048 31989072 63978144 11187511493 22375022986 33562534479 44750045972 67125068958 89500091944 134250137916 179000183888 268500275832 358000367776 537000551664 1074001103328