Search a number
-
+
1997633016 = 23353832683
BaseRepresentation
bin111011100010001…
…0111010111111000
312011012220021100000
41313010113113320
513042343224031
6530120113000
7100334412651
oct16704272770
95135807300
101997633016
11935680285
12479005760
1325ab28b92
1414d440528
15ba5963e6
hex771175f8

1997633016 has 96 divisors (see below), whose sum is σ = 5627381760. Its totient is φ = 663891552.

The previous prime is 1997633003. The next prime is 1997633021. The reversal of 1997633016 is 6103367991.

1997633016 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 633 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×19976330162 = 7981075333226512512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743211 + ... + 745893.

It is an arithmetic number, because the mean of its divisors is an integer number (58618560).

Almost surely, 21997633016 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 1997633016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813690880).

1997633016 is an abundant number, since it is smaller than the sum of its proper divisors (3629748744).

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

1997633016 is a wasteful number, since it uses less digits than its factorization.

1997633016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1997633016 is about 44694.8880298407. Note that the first 3 decimals coincide. The cubic root of 1997633016 is about 1259.4238181923.

The spelling of 1997633016 in words is "one billion, nine hundred ninety-seven million, six hundred thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 383 486 648 766 972 1149 1532 1944 2298 2683 3064 3447 4596 5366 6894 8049 9192 10341 10732 13788 16098 20682 21464 24147 27576 31023 32196 41364 48294 62046 64392 72441 82728 93069 96588 124092 144882 186138 193176 217323 248184 289764 372276 434646 579528 651969 744552 869292 1027589 1303938 1738584 2055178 2607876 3082767 4110356 5215752 6165534 8220712 9248301 12331068 18496602 24662136 27744903 36993204 55489806 73986408 83234709 110979612 166469418 221959224 249704127 332938836 499408254 665877672 998816508 1997633016