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21160176272 = 24192337263311
BaseRepresentation
bin10011101101001111…
…101010101010010000
32000121200121022220022
4103231033222222100
5321314001120042
613415412003012
71346240350004
oct235517525220
960550538808
1021160176272
118a79405694
124126600468
131cc2b67881
14104a40a704
1583ca3bcd2
hex4ed3eaa90

21160176272 has 160 divisors (see below), whose sum is σ = 46574161920. Its totient is φ = 9262978560.

The previous prime is 21160176263. The next prime is 21160176287. The reversal of 21160176272 is 27267106112.

It is a super-2 number, since 2×211601762722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68038997 + ... + 68039307.

It is an arithmetic number, because the mean of its divisors is an integer number (291088512).

Almost surely, 221160176272 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 21160176272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287080960).

21160176272 is an abundant number, since it is smaller than the sum of its proper divisors (25413985648).

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

21160176272 is a wasteful number, since it uses less digits than its factorization.

21160176272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 21160176272 in words is "twenty-one billion, one hundred sixty million, one hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 37 38 46 74 76 92 148 152 184 263 296 304 311 368 437 526 592 622 703 851 874 1052 1244 1406 1702 1748 2104 2488 2812 3404 3496 4208 4976 4997 5624 5909 6049 6808 6992 7153 9731 9994 11248 11507 11818 12098 13616 14306 16169 19462 19988 23014 23636 24196 28612 32338 38924 39976 46028 47272 48392 57224 64676 77848 79952 81793 92056 94544 96784 114448 114931 129352 135907 155696 163586 184112 184889 218633 223813 229862 258704 264661 271814 327172 369778 437266 447626 459724 529322 543628 654344 739556 874532 895252 919448 1058644 1087256 1308688 1479112 1554067 1749064 1790504 1838896 1881239 2117288 2174512 2958224 3026341 3108134 3498128 3581008 3762478 4234576 4252447 5028559 6052682 6216268 7524956 8504894 10057118 12105364 12432536 15049912 17009788 20114236 24210728 24865072 30099824 34019576 35743541 40228472 48421456 57500479 68039152 69605843 71487082 80456944 115000958 139211686 142974164 230001916 278423372 285948328 460003832 556846744 571896656 920007664 1113693488 1322511017 2645022034 5290044068 10580088136 21160176272