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1272148525460 = 225376138373583
BaseRepresentation
bin10010100000110001111…
…101100000000110010100
311111121122012212221201002
4102200301331200012110
5131320330010303320
62412230021522432
7160624012023221
oct22406175400624
94447565787632
101272148525460
1145057375013a
12186673b73418
1392c69bb03a7
144580261c948
1523158c4b675
hex12831f60194

1272148525460 has 96 divisors (see below), whose sum is σ = 2796013043712. Its totient is φ = 485711838720.

The previous prime is 1272148525433. The next prime is 1272148525481. The reversal of 1272148525460 is 645258412721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17251829 + ... + 17325411.

It is an arithmetic number, because the mean of its divisors is an integer number (29125135872).

Almost surely, 21272148525460 is an apocalyptic number.

1272148525460 is a gapful number since it is divisible by the number (10) 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 1272148525460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398006521856).

1272148525460 is an abundant number, since it is smaller than the sum of its proper divisors (1523864518252).

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

1272148525460 is a wasteful number, since it uses less digits than its factorization.

1272148525460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74073 (or 74071 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 1272148525460 in words is "one trillion, two hundred seventy-two billion, one hundred forty-eight million, five hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 383 610 740 766 1220 1532 1915 2257 3830 4514 7660 9028 11285 14171 22570 23363 28342 45140 46726 56684 70855 73583 93452 116815 141710 147166 233630 283420 294332 367915 467260 735830 864431 1471660 1728862 2722571 3457724 4322155 4488563 5445142 8644310 8977126 10890284 13612855 17288620 17954252 22442815 27225710 28182289 44885630 54451420 56364578 89771260 112729156 140911445 166076831 281822890 332153662 563645780 664307324 830384155 1042744693 1660768310 1719119629 2085489386 3321536620 3438239258 4170978772 5213723465 6876478516 8595598145 10427446930 17191196290 20854893860 34382392580 63607426273 127214852546 254429705092 318037131365 636074262730 1272148525460