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1661011656 = 2331729791777
BaseRepresentation
bin110001100000001…
…0000011011001000
311021202111010122020
41203000100123020
511400204333111
6432453124440
756106236403
oct14300203310
94252433566
101661011656
11782663707
123a4329720
13206178345
1411a856d3a
159ac51906
hex630106c8

1661011656 has 128 divisors (see below), whose sum is σ = 4608576000. Its totient is φ = 496484352.

The previous prime is 1661011637. The next prime is 1661011657. The reversal of 1661011656 is 6561101661.

It is not an unprimeable number, because it can be changed into a prime (1661011657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933840 + ... + 935616.

It is an arithmetic number, because the mean of its divisors is an integer number (36004500).

Almost surely, 21661011656 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 1661011656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288000).

1661011656 is an abundant number, since it is smaller than the sum of its proper divisors (2947564344).

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

1661011656 is a wasteful number, since it uses less digits than its factorization.

1661011656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1661011656 is about 40755.5107439473. The cubic root of 1661011656 is about 1184.2886307074.

The spelling of 1661011656 in words is "one billion, six hundred sixty-one million, eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 79 87 102 116 136 158 174 204 232 237 316 348 408 474 493 632 696 948 986 1343 1479 1777 1896 1972 2291 2686 2958 3554 3944 4029 4582 5331 5372 5916 6873 7108 8058 9164 10662 10744 11832 13746 14216 16116 18328 21324 27492 30209 32232 38947 42648 51533 54984 60418 77894 90627 103066 116841 120836 140383 154599 155788 181254 206132 233682 241672 280766 309198 311576 362508 412264 421149 467364 561532 618396 725016 842298 876061 934728 1123064 1236792 1684596 1752122 2386511 2628183 3369192 3504244 4071107 4773022 5256366 7008488 7159533 8142214 9546044 10512732 12213321 14319066 16284428 19092088 21025464 24426642 28638132 32568856 48853284 57276264 69208819 97706568 138417638 207626457 276835276 415252914 553670552 830505828 1661011656