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30211878880 = 2551133794409
BaseRepresentation
bin11100001000110001…
…001010111111100000
32212222111222110120001
4130020301022333200
5443333220111010
621513521225344
72116451506351
oct341061127740
985874873501
1030211878880
11118a38aa847
125a31a92254
132b0624b211
14166863dd28
15bbc52cc3a
hex708c4afe0

30211878880 has 96 divisors (see below), whose sum is σ = 72213573600. Its totient is φ = 11943493632.

The previous prime is 30211878871. The next prime is 30211878887. The reversal of 30211878880 is 8887811203.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30211878880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30211878887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6850116 + ... + 6854524.

It is an arithmetic number, because the mean of its divisors is an integer number (752224725).

Almost surely, 230211878880 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 30211878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36106786800).

30211878880 is an abundant number, since it is smaller than the sum of its proper divisors (42001694720).

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

30211878880 is a wasteful number, since it uses less digits than its factorization.

30211878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The spelling of 30211878880 in words is "thirty billion, two hundred eleven million, eight hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 379 452 565 758 904 1130 1516 1808 1895 2260 3032 3616 3790 4409 4520 6064 7580 8818 9040 12128 15160 17636 18080 22045 30320 35272 42827 44090 60640 70544 85654 88180 141088 171308 176360 214135 342616 352720 428270 498217 685232 705440 856540 996434 1370464 1671011 1713080 1992868 2491085 3342022 3426160 3985736 4982170 6684044 6852320 7971472 8355055 9964340 13368088 15942944 16710110 19928680 26736176 33420220 39857360 53472352 66840440 79714720 133680880 188824243 267361760 377648486 755296972 944121215 1510593944 1888242430 3021187888 3776484860 6042375776 7552969720 15105939440 30211878880