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214661243632 = 241153103223423
BaseRepresentation
bin1100011111101011001…
…1101010001011110000
3202112002010000000210211
43013322303222023300
512004111234244012
6242340343233504
721336335315353
oct3077263521360
9675063000724
10214661243632
1183045748580
1235729748894
131731c91a974
14a56532429a
1558b56716a7
hex31facea2f0

214661243632 has 80 divisors (see below), whose sum is σ = 466766696448. Its totient is φ = 94802423040.

The previous prime is 214661243611. The next prime is 214661243659. The reversal of 214661243632 is 236342166412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849073 + ... + 1072495.

Almost surely, 2214661243632 is an apocalyptic number.

214661243632 is a gapful number since it is divisible by the number (22) 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 214661243632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233383348224).

214661243632 is an abundant number, since it is smaller than the sum of its proper divisors (252105452816).

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

214661243632 is a wasteful number, since it uses less digits than its factorization.

214661243632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223598 (or 223592 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The spelling of 214661243632 in words is "two hundred fourteen billion, six hundred sixty-one million, two hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 103 106 176 206 212 412 424 583 824 848 1133 1166 1648 2266 2332 4532 4664 5459 9064 9328 10918 18128 21836 43672 60049 87344 120098 223423 240196 446846 480392 893692 960784 1787384 2457653 3574768 4915306 9830612 11841419 19661224 23012569 23682838 39322448 46025138 47365676 92050276 94731352 130255609 184100552 189462704 253138259 260511218 368201104 506276518 521022436 1012553036 1042044872 1219666157 2025106072 2084089744 2439332314 4050212144 4878664628 9757329256 13416327727 19514658512 26832655454 53665310908 107330621816 214661243632