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4732271712 = 2532723102059
BaseRepresentation
bin1000110100001000…
…01011110001100000
3110012210121022101200
410122010023301200
534142430143322
62101325001200
7225161434350
oct43204136140
913183538350
104732271712
112009275863
12b009b3200
135a554ca9c
1432c6ccb60
151ca6be8ac
hex11a10bc60

4732271712 has 144 divisors (see below), whose sum is σ = 16048730880. Its totient is φ = 1293278976.

The previous prime is 4732271699. The next prime is 4732271723. The reversal of 4732271712 is 2171722374.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 4662 + ... + 97397.

It is an arithmetic number, because the mean of its divisors is an integer number (111449520).

Almost surely, 24732271712 is an apocalyptic number.

4732271712 is a gapful number since it is divisible by the number (42) 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 4732271712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024365440).

4732271712 is an abundant number, since it is smaller than the sum of its proper divisors (11316459168).

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

4732271712 is a wasteful number, since it uses less digits than its factorization.

4732271712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102105 (or 102094 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 4732271712 is about 68791.5090109237. The cubic root of 4732271712 is about 1678.8937955836.

The spelling of 4732271712 in words is "four billion, seven hundred thirty-two million, two hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 102059 204118 306177 408236 612354 714413 816472 918531 1224708 1428826 1632944 1837062 2143239 2347357 2449416 2857652 3265888 3674124 4286478 4694714 4898832 5715304 6429717 7042071 7348248 8572956 9389428 9797664 11430608 12859434 14084142 14696496 16431499 17145912 18778856 21126213 22861216 25718868 28168284 29392992 32862998 34291824 37557712 42252426 49294497 51437736 56336568 65725996 68583648 75115424 84504852 98588994 102875472 112673136 131451992 147883491 169009704 197177988 205750944 225346272 262903984 295766982 338019408 394355976 525807968 591533964 676038816 788711952 1183067928 1577423904 2366135856 4732271712