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30488044032 = 29337927917
BaseRepresentation
bin11100011001001110…
…101010001000000000
32220200202122002221000
4130121032222020000
5444414414402112
622001144332000
72126344045515
oct343116521000
986622562830
1030488044032
1111a25784806
125aaa474000
132b4b522254
1416931ab30c
15bd68ce7dc
hex7193aa200

30488044032 has 160 divisors (see below), whose sum is σ = 91392364800. Its totient is φ = 10033680384.

The previous prime is 30488044019. The next prime is 30488044033. The reversal of 30488044032 is 23044088403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30488044033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078138 + ... + 1106054.

It is an arithmetic number, because the mean of its divisors is an integer number (571202280).

Almost surely, 230488044032 is an apocalyptic number.

30488044032 is a gapful number since it is divisible by the number (32) 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 30488044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696182400).

30488044032 is an abundant number, since it is smaller than the sum of its proper divisors (60904320768).

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

30488044032 is an equidigital number, since it uses as much as digits as its factorization.

30488044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28023 (or 28001 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 30488044032 in words is "thirty billion, four hundred eighty-eight million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1152 1264 1422 1536 1728 1896 2133 2304 2528 2844 3456 3792 4266 4608 5056 5688 6912 7584 8532 10112 11376 13824 15168 17064 20224 22752 27917 30336 34128 40448 45504 55834 60672 68256 83751 91008 111668 121344 136512 167502 182016 223336 251253 273024 335004 364032 446672 502506 546048 670008 753759 893344 1005012 1092096 1340016 1507518 1786688 2010024 2205443 2680032 3015036 3573376 4020048 4410886 5360064 6030072 6616329 7146752 8040096 8821772 10720128 12060144 13232658 14293504 16080192 17643544 19848987 21440256 24120288 26465316 32160384 35287088 39697974 42880512 48240576 52930632 59546961 64320768 70574176 79395948 96481152 105861264 119093922 128641536 141148352 158791896 192962304 211722528 238187844 282296704 317583792 385924608 423445056 476375688 564593408 635167584 846890112 952751376 1129186816 1270335168 1693780224 1905502752 2540670336 3387560448 3811005504 5081340672 7622011008 10162681344 15244022016 30488044032