Search a number
-
+
1258097740512 = 253129531011749
BaseRepresentation
bin10010010011101100011…
…110000000101011100000
311110021100222212010021120
4102103230132000223200
5131103041010144022
62401543452452240
7156615556230504
oct22235436005340
94407328763246
101258097740512
11445613415478
121839b247a080
139183abcca62
1444c6c4c6304
1522ad5435d5c
hex124ec780ae0

1258097740512 has 48 divisors (see below), whose sum is σ = 3302764794000. Its totient is φ = 419333123072.

The previous prime is 1258097740481. The next prime is 1258097740513. The reversal of 1258097740512 is 2150477908521.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258097740513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737614 + ... + 1749362.

It is an arithmetic number, because the mean of its divisors is an integer number (68807599875).

Almost surely, 21258097740512 is an apocalyptic number.

1258097740512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1258097740512 is an abundant number, since it is smaller than the sum of its proper divisors (2044667053488).

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

1258097740512 is a wasteful number, since it uses less digits than its factorization.

1258097740512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024715 (or 1024707 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 1258097740512 in words is "one trillion, two hundred fifty-eight billion, ninety-seven million, seven hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12953 25906 38859 51812 77718 103624 155436 207248 310872 414496 621744 1011749 1243488 2023498 3035247 4046996 6070494 8093992 12140988 16187984 24281976 32375968 48563952 97127904 13105184797 26210369594 39315554391 52420739188 78631108782 104841478376 157262217564 209682956752 314524435128 419365913504 629048870256 1258097740512