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1656926988816 = 24311151157132371
BaseRepresentation
bin11000000111001000100…
…010110110101000010000
312212101211002110010212110
4120013020202312220100
5204121341302120231
63305103131425320
7230465124011331
oct30071042665020
95771732403773
101656926988816
115897760a8790
122291595b5240
13c032ab176c8
145a2a4db0288
152d179170046
hex181c88b6a10

1656926988816 has 160 divisors (see below), whose sum is σ = 4730420376576. Its totient is φ = 495593280000.

The previous prime is 1656926988791. The next prime is 1656926988881. The reversal of 1656926988816 is 6188896296561.

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, 12451111 + ... + 12583481.

Almost surely, 21656926988816 is an apocalyptic number.

1656926988816 is a gapful number since it is divisible by the number (16) 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 1656926988816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365210188288).

1656926988816 is an abundant number, since it is smaller than the sum of its proper divisors (3073493387760).

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

1656926988816 is a wasteful number, since it uses less digits than its factorization.

1656926988816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132701 (or 132695 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 75.

The spelling of 1656926988816 in words is "one trillion, six hundred fifty-six billion, nine hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 157 176 264 302 314 453 471 528 604 628 906 942 1208 1256 1661 1727 1812 1884 2416 2512 3322 3454 3624 3768 4983 5181 6644 6908 7248 7536 9966 10362 13288 13816 19932 20724 23707 26576 27632 39864 41448 47414 71121 79728 82896 94828 132371 142242 189656 260777 264742 284484 379312 397113 521554 529484 568968 782331 794226 1043108 1058968 1137936 1456081 1564662 1588452 2086216 2117936 2912162 3129324 3176904 4172432 4368243 5824324 6258648 6353808 8736486 11648648 12517296 17472972 19988021 20782247 23297296 34945944 39976042 41564494 59964063 62346741 69891888 79952084 83128988 119928126 124693482 159904168 166257976 219868231 228604717 239856252 249386964 319808336 332515952 439736462 457209434 479712504 498773928 659604693 685814151 879472924 914418868 959425008 997547856 1319209386 1371628302 1758945848 1828837736 2638418772 2743256604 3138119297 3517891696 3657675472 5276837544 5486513208 6276238594 9414357891 10553675088 10973026416 12552477188 18828715782 25104954376 34519312267 37657431564 50209908752 69038624534 75314863128 103557936801 138077249068 150629726256 207115873602 276154498136 414231747204 552308996272 828463494408 1656926988816