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2078125920576 = 263311171076651
BaseRepresentation
bin11110001111011001111…
…101010001000101000000
321100200000011112211022000
4132033121331101011000
5233022000213424301
64230402230344000
7303065616605166
oct36173175210500
97320004484260
102078125920576
117313679a62a2
122969081bb000
13120c7433c844
147282078b236
15390cbbad786
hex1e3d9f51140

2078125920576 has 112 divisors (see below), whose sum is σ = 6114780434880. Its totient is φ = 692087846400.

The previous prime is 2078125920457. The next prime is 2078125920599. The reversal of 2078125920576 is 6750295218702.

2078125920576 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 12 + 59 + 2 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1391851 + ... + 2468501.

Almost surely, 22078125920576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078125920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057390217440).

2078125920576 is an abundant number, since it is smaller than the sum of its proper divisors (4036654514304).

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

2078125920576 is a wasteful number, since it uses less digits than its factorization.

2078125920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077789 (or 1077773 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 2078125920576 in words is "two trillion, seventy-eight billion, one hundred twenty-five million, nine hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1117 1728 2234 3351 4468 6702 8936 10053 13404 17872 20106 26808 30159 35744 40212 53616 60318 71488 80424 107232 120636 160848 214464 241272 321696 482544 643392 965088 1076651 1930176 2153302 3229953 4306604 6459906 8613208 9689859 12919812 17226416 19379718 25839624 29069577 34452832 38759436 51679248 58139154 68905664 77518872 103358496 116278308 155037744 206716992 232556616 310075488 465113232 620150976 930226464 1202619167 1860452928 2405238334 3607857501 4810476668 7215715002 9620953336 10823572503 14431430004 19241906672 21647145006 28862860008 32470717509 38483813344 43294290012 57725720016 64941435018 76967626688 86588580024 115451440032 129882870036 173177160048 230902880064 259765740072 346354320096 519531480144 692708640192 1039062960288 2078125920576