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1661235552 = 25328964811
BaseRepresentation
bin110001100000100…
…0111000101100000
311021202220111202200
41203001013011200
511400234014202
6432502013200
756111161224
oct14301070540
94252814680
101661235552
117827a6949
123a4417200
13206226222
1411a8b4784
159ac97e1c
hex63047160

1661235552 has 72 divisors (see below), whose sum is σ = 4777292520. Its totient is φ = 547514880.

The previous prime is 1661235547. The next prime is 1661235553. The reversal of 1661235552 is 2555321661.

1661235552 is a `hidden beast` number, since 1 + 6 + 612 + 35 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661235553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6774 + ... + 58037.

It is an arithmetic number, because the mean of its divisors is an integer number (66351285).

Almost surely, 21661235552 is an apocalyptic number.

1661235552 is a gapful number since it is divisible by the number (12) 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 1661235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388646260).

1661235552 is an abundant number, since it is smaller than the sum of its proper divisors (3116056968).

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

1661235552 is a wasteful number, since it uses less digits than its factorization.

1661235552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64916 (or 64905 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1661235552 is about 40758.2574701127. The cubic root of 1661235552 is about 1184.3418403630.

The spelling of 1661235552 in words is "one billion, six hundred sixty-one million, two hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 64811 129622 194433 259244 388866 518488 583299 777732 1036976 1166598 1555464 2073952 2333196 3110928 4666392 5768179 6221856 9332784 11536358 17304537 18665568 23072716 34609074 46145432 51913611 69218148 92290864 103827222 138436296 184581728 207654444 276872592 415308888 553745184 830617776 1661235552