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661159177168 = 24731753133711
BaseRepresentation
bin10011001111100000010…
…10000110101111010000
32100012120022122011101011
421213300022012233100
541313023222132133
61223422103420304
765524066165000
oct11476012065720
92305508564334
10661159177168
1123543a134616
12a8178a54694
134a4685b7939
1424000a7c000
15122e92456cd
hex99f0286bd0

661159177168 has 160 divisors (see below), whose sum is σ = 1611603993600. Its totient is φ = 261652285440.

The previous prime is 661159177141. The next prime is 661159177169. The reversal of 661159177168 is 861771951166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661159177169) 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, 4877833 + ... + 5011543.

It is an arithmetic number, because the mean of its divisors is an integer number (10072524960).

Almost surely, 2661159177168 is an apocalyptic number.

661159177168 is a gapful number since it is divisible by the number (68) 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 661159177168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805801996800).

661159177168 is an abundant number, since it is smaller than the sum of its proper divisors (950444816432).

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

661159177168 is a wasteful number, since it uses less digits than its factorization.

661159177168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133810 (or 133790 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 58.

The spelling of 661159177168 in words is "six hundred sixty-one billion, one hundred fifty-nine million, one hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 53 56 68 98 106 112 119 136 196 212 238 272 343 371 392 424 476 686 742 784 833 848 901 952 1372 1484 1666 1802 1904 2597 2744 2968 3332 3604 5194 5488 5831 5936 6307 6664 7208 10388 11662 12614 13328 14416 18179 20776 23324 25228 36358 41552 44149 46648 50456 72716 88298 93296 100912 133711 145432 176596 267422 290864 309043 353192 534844 618086 706384 935977 1069688 1236172 1871954 2139376 2273087 2472344 3743908 4546174 4944688 6551839 7086683 7487816 9092348 13103678 14173366 14975632 15911609 18184696 26207356 28346732 31823218 36369392 45862873 49606781 52414712 56693464 63646436 91725746 99213562 104829424 111381263 113386928 120473611 127292872 183451492 198427124 222762526 240947222 254585744 347247467 366902984 396854248 445525052 481894444 694494934 733805968 779668841 793708496 843315277 891050104 963788888 1388989868 1559337682 1686630554 1782100208 1927577776 2430732269 2777979736 3118675364 3373261108 4861464538 5555959472 5903206939 6237350728 6746522216 9722929076 11806413878 12474701456 13493044432 19445858152 23612827756 38891716304 41322448573 47225655512 82644897146 94451311024 165289794292 330579588584 661159177168