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30559738872 = 233131015991619
BaseRepresentation
bin11100011101100000…
…001001101111111000
32220212202112120202110
4130131200021233320
51000041243120442
622012225132320
72131204331415
oct343540115770
986782476673
1030559738872
1111a621a3143
125b0a48a0a0
132b60335330
14169c91110c
15bdcd4269c
hex71d809bf8

30559738872 has 128 divisors (see below), whose sum is σ = 83280960000. Its totient is φ = 9288614400.

The previous prime is 30559738861. The next prime is 30559738889. The reversal of 30559738872 is 27883795503.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18874879 + ... + 18876497.

It is an arithmetic number, because the mean of its divisors is an integer number (650632500).

Almost surely, 230559738872 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 30559738872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480000).

30559738872 is an abundant number, since it is smaller than the sum of its proper divisors (52721221128).

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

30559738872 is a wasteful number, since it uses less digits than its factorization.

30559738872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 30559738872 in words is "thirty billion, five hundred fifty-nine million, seven hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 599 606 808 1198 1212 1313 1619 1797 2396 2424 2626 3238 3594 3939 4792 4857 5252 6476 7188 7787 7878 9714 10504 12952 14376 15574 15756 19428 21047 23361 31148 31512 38856 42094 46722 60499 62296 63141 84188 93444 120998 126282 163519 168376 181497 186888 241996 252564 327038 362994 483992 490557 505128 654076 725988 786487 969781 981114 1308152 1451976 1572974 1939562 1962228 2125747 2359461 2909343 3145948 3879124 3924456 4251494 4718922 5818686 6291896 6377241 7758248 8502988 9437844 11637372 12607153 12754482 17005976 18875688 23274744 25214306 25508964 37821459 50428612 51017928 75642918 97947881 100857224 151285836 195895762 293843643 302571672 391791524 587687286 783583048 1175374572 1273322453 2350749144 2546644906 3819967359 5093289812 7639934718 10186579624 15279869436 30559738872