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1077885625146 = 23111031133134483
BaseRepresentation
bin11111010111101101111…
…11010110001100111010
310211001012200222010110020
433223312333112030322
5120130002210001041
62143101313431310
7140606003433321
oct17536677261472
93731180863406
101077885625146
11386146375940
12154a9986b536
137a84b34b875
143a2544730b8
151d0892cd866
hexfaf6fd633a

1077885625146 has 128 divisors (see below), whose sum is σ = 2403786737664. Its totient is φ = 319502776320.

The previous prime is 1077885625139. The next prime is 1077885625183. The reversal of 1077885625146 is 6415265887701.

It is a self number, because there is not a number n which added to its sum of digits gives 1077885625146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240436221 + ... + 240440703.

It is an arithmetic number, because the mean of its divisors is an integer number (18779583888).

Almost surely, 21077885625146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077885625146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201893368832).

1077885625146 is an abundant number, since it is smaller than the sum of its proper divisors (1325901112518).

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

1077885625146 is a wasteful number, since it uses less digits than its factorization.

1077885625146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028.

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 1077885625146 in words is "one trillion, seventy-seven billion, eight hundred eighty-five million, six hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 103 113 206 226 309 313 339 618 626 678 939 1133 1243 1878 2266 2486 3399 3443 3729 4483 6798 6886 7458 8966 10329 11639 13449 20658 23278 26898 32239 34917 35369 49313 64478 69834 70738 96717 98626 106107 128029 147939 193434 212214 256058 295878 354629 384087 389059 461749 506579 709258 768174 778118 923498 1013158 1063887 1167177 1385247 1403179 1519737 2127774 2334354 2770494 2806358 3039474 3643007 4209537 5079239 5572369 7286014 8419074 10158478 10929021 11144738 15237717 15434969 16717107 21858042 30475434 30869938 33434214 40073077 46304907 52177637 80146154 92609814 104355274 120219231 144527437 156532911 158559227 240438462 289054874 313065822 317118454 433582311 475677681 573954007 867164622 951355362 1147908014 1589801807 1721862021 1744151497 3179603614 3443724042 3488302994 4769405421 5232454491 9538810842 10464908982 16331600381 32663200762 48994801143 97989602286 179647604191 359295208382 538942812573 1077885625146