Search a number
-
+
30956000472 = 23332334717957
BaseRepresentation
bin11100110101000111…
…110001010011011000
32221220101011202111000
4130311013301103120
51001344214003342
622115422305000
72144055443145
oct346507612330
987811152430
1030956000472
1112145945371
125bbb128160
132bc4468157
1416d93c13cc
15c12a1844c
hex7351f14d8

30956000472 has 128 divisors (see below), whose sum is σ = 89991129600. Its totient is φ = 9841037184.

The previous prime is 30956000423. The next prime is 30956000479. The reversal of 30956000472 is 27400065903.

30956000472 is a `hidden beast` number, since 3 + 0 + 9 + 5 + 600 + 0 + 47 + 2 = 666.

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 (30956000479) 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, 1714918 + ... + 1732874.

It is an arithmetic number, because the mean of its divisors is an integer number (703055700).

Almost surely, 230956000472 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 30956000472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44995564800).

30956000472 is an abundant number, since it is smaller than the sum of its proper divisors (59035129128).

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

30956000472 is a wasteful number, since it uses less digits than its factorization.

30956000472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18342 (or 18332 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 30956000472 in words is "thirty billion, nine hundred fifty-six million, four hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 347 414 552 621 694 828 1041 1242 1388 1656 2082 2484 2776 3123 4164 4968 6246 7981 8328 9369 12492 15962 17957 18738 23943 24984 31924 35914 37476 47886 53871 63848 71828 71829 74952 95772 107742 143656 143658 161613 191544 215484 215487 287316 323226 413011 430968 430974 484839 574632 646452 826022 861948 969678 1239033 1292904 1652044 1723896 1939356 2478066 3304088 3717099 3878712 4956132 6231079 7434198 9912264 11151297 12462158 14868396 18693237 22302594 24924316 29736792 37386474 44605188 49848632 56079711 74772948 89210376 112159422 143314817 149545896 168239133 224318844 286629634 336478266 429944451 448637688 573259268 672956532 859888902 1146518536 1289833353 1345913064 1719777804 2579666706 3439555608 3869500059 5159333412 7739000118 10318666824 15478000236 30956000472