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2155019776 = 29713232011
BaseRepresentation
bin1000000001110010…
…1111111000000000
312120012001100101021
42000130233320000
513403141113101
6553501315224
7104255236330
oct20034577000
95505040337
102155019776
11a064a8288
12501865b14
13284613040
141662cd0c0
15c92d45a1
hex8072fe00

2155019776 has 160 divisors (see below), whose sum is σ = 5532645888. Its totient is φ = 815063040.

The previous prime is 2155019771. The next prime is 2155019791. The reversal of 2155019776 is 6779105512.

It is a super-2 number, since 2×21550197762 = 9288220469902180352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155019771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070611 + ... + 1072621.

Almost surely, 22155019776 is an apocalyptic number.

2155019776 is a gapful number since it is divisible by the number (26) 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 2155019776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766322944).

2155019776 is an abundant number, since it is smaller than the sum of its proper divisors (3377626112).

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

2155019776 is a wasteful number, since it uses less digits than its factorization.

2155019776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 43.

The square root of 2155019776 is about 46422.1905558107. The cubic root of 2155019776 is about 1291.6665710403. Note that the first 3 decimals are identical.

The spelling of 2155019776 in words is "two billion, one hundred fifty-five million, nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 256 299 322 364 368 416 448 512 598 644 728 736 832 896 1196 1288 1456 1472 1664 1792 2011 2093 2392 2576 2912 2944 3328 3584 4022 4186 4784 5152 5824 5888 6656 8044 8372 9568 10304 11648 11776 14077 16088 16744 19136 20608 23296 26143 28154 32176 33488 38272 41216 46253 46592 52286 56308 64352 66976 76544 82432 92506 104572 112616 128704 133952 153088 183001 185012 209144 225232 257408 267904 323771 366002 370024 418288 450464 514816 535808 601289 647542 732004 740048 836576 900928 1029632 1071616 1202578 1295084 1464008 1480096 1673152 1801856 2405156 2590168 2928016 2960192 3346304 3603712 4209023 4810312 5180336 5856032 5920384 6692608 7207424 8418046 9620624 10360672 11712064 11840768 13385216 16836092 19241248 20721344 23424128 23681536 33672184 38482496 41442688 46848256 67344368 76964992 82885376 93696512 134688736 153929984 165770752 269377472 307859968 538754944 1077509888 2155019776