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2159983872 = 28327911867
BaseRepresentation
bin1000000010111110…
…1011110100000000
312120112101112211200
42000233223310000
513410423440442
6554155541200
7104345363034
oct20057536400
95515345750
102159983872
11a09288942
1250345a800
13285660687
14166c221c4
15c996534c
hex80bebd00

2159983872 has 108 divisors (see below), whose sum is σ = 6307129920. Its totient is φ = 710820864.

The previous prime is 2159983823. The next prime is 2159983877. The reversal of 2159983872 is 2783899512.

It is a super-2 number, since 2×21599838722 = 9331060654600224768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159983877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176083 + ... + 187949.

Almost surely, 22159983872 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 2159983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153564960).

2159983872 is an abundant number, since it is smaller than the sum of its proper divisors (4147146048).

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

2159983872 is a wasteful number, since it uses less digits than its factorization.

2159983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11951 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2159983872 is about 46475.6266445112. The cubic root of 2159983872 is about 1292.6575967220.

The spelling of 2159983872 in words is "two billion, one hundred fifty-nine million, nine hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 576 632 711 768 948 1152 1264 1422 1896 2304 2528 2844 3792 5056 5688 7584 10112 11376 11867 15168 20224 22752 23734 30336 35601 45504 47468 60672 71202 91008 94936 106803 142404 182016 189872 213606 284808 379744 427212 569616 759488 854424 937493 1139232 1518976 1708848 1874986 2278464 2812479 3037952 3417696 3749972 4556928 5624958 6835392 7499944 8437437 9113856 11249916 13670784 14999888 16874874 22499832 27341568 29999776 33749748 44999664 59999552 67499496 89999328 119999104 134998992 179998656 239998208 269997984 359997312 539995968 719994624 1079991936 2159983872