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2073155664 = 243193476551
BaseRepresentation
bin111101110010001…
…1101100001010000
312100111000012221010
41323210131201100
513221211440124
6541414530520
7102242350416
oct17344354120
95314005833
102073155664
11974273598
1249a366a40
1327067c338
1415949d2b6
15c2013529
hex7b91d850

2073155664 has 80 divisors (see below), whose sum is σ = 5654638080. Its totient is φ = 652694400.

The previous prime is 2073155653. The next prime is 2073155687. The reversal of 2073155664 is 4665513702.

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, 313189 + ... + 319739.

It is an arithmetic number, because the mean of its divisors is an integer number (70682976).

Almost surely, 22073155664 is an apocalyptic number.

2073155664 is a gapful number since it is divisible by the number (24) 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 2073155664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827319040).

2073155664 is an abundant number, since it is smaller than the sum of its proper divisors (3581482416).

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

2073155664 is a wasteful number, since it uses less digits than its factorization.

2073155664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2073155664 is about 45531.9191776494. The cubic root of 2073155664 is about 1275.0991928979.

The spelling of 2073155664 in words is "two billion, seventy-three million, one hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 347 456 694 912 1041 1388 2082 2776 4164 5552 6551 6593 8328 13102 13186 16656 19653 19779 26204 26372 39306 39558 52408 52744 78612 79116 104816 105488 124469 157224 158232 248938 314448 316464 373407 497876 746814 995752 1493628 1991504 2273197 2987256 4546394 5974512 6819591 9092788 13639182 18185576 27278364 36371152 43190743 54556728 86381486 109113456 129572229 172762972 259144458 345525944 518288916 691051888 1036577832 2073155664