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2025693807504 = 243832571978433
BaseRepresentation
bin11101011110100100110…
…000101000001110010000
321011122200002021111202020
4131132210300220032100
5231142110103320004
64150331344251440
7266231403156603
oct35364460501620
97148602244666
102025693807504
11711101387744
12288714910b80
1311903974c473
147008903c33a
1537a5da4c8d9
hex1d7a4c28390

2025693807504 has 80 divisors (see below), whose sum is σ = 5316701084352. Its totient is φ = 664499912704.

The previous prime is 2025693807503. The next prime is 2025693807509. The reversal of 2025693807504 is 4057083965202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2025693807503) 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, 34672 + ... + 2013104.

Almost surely, 22025693807504 is an apocalyptic number.

2025693807504 is a gapful number since it is divisible by the number (24) 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 2025693807504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658350542176).

2025693807504 is an abundant number, since it is smaller than the sum of its proper divisors (3291007276848).

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

2025693807504 is a wasteful number, since it uses less digits than its factorization.

2025693807504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978784 (or 1978778 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 2025693807504 in words is "two trillion, twenty-five billion, six hundred ninety-three million, eight hundred seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 257 332 498 514 664 771 996 1028 1328 1542 1992 2056 3084 3984 4112 6168 12336 21331 42662 63993 85324 127986 170648 255972 341296 511944 1023888 1978433 3956866 5935299 7913732 11870598 15827464 23741196 31654928 47482392 94964784 164209939 328419878 492629817 508457281 656839756 985259634 1016914562 1313679512 1525371843 1970519268 2033829124 2627359024 3050743686 3941038536 4067658248 6101487372 7882077072 8135316496 12202974744 24405949488 42201954323 84403908646 126605862969 168807817292 253211725938 337615634584 506423451876 675231269168 1012846903752 2025693807504