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23319478272 = 2163176977
BaseRepresentation
bin10101101101111100…
…110000000000000000
32020012011201020101110
4111231330300000000
5340224241301042
614413545203320
71453610203056
oct255574600000
966164636343
1023319478272
1199872681a2
124629790540
132278319a6c
1411b30d21d6
159173ba09c
hex56df30000

23319478272 has 136 divisors (see below), whose sum is σ = 65852167536. Its totient is φ = 7314866176.

The previous prime is 23319478271. The next prime is 23319478331. The reversal of 23319478272 is 27287491332.

It is a tau number, because it is divible by the number of its divisors (136).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23319478271) 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 7 ways as a sum of consecutive naturals, for example, 3338848 + ... + 3345824.

Almost surely, 223319478272 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 23319478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926083768).

23319478272 is an abundant number, since it is smaller than the sum of its proper divisors (42532689264).

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

23319478272 is an frugal number, since it uses more digits than its factorization.

23319478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 6999 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 23319478272 in words is "twenty-three billion, three hundred nineteen million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 6977 8192 8704 12288 13056 13954 16384 17408 20931 24576 26112 27908 32768 34816 41862 49152 52224 55816 65536 69632 83724 98304 104448 111632 118609 139264 167448 196608 208896 223264 237218 278528 334896 355827 417792 446528 474436 557056 669792 711654 835584 893056 948872 1114112 1339584 1423308 1671168 1786112 1897744 2679168 2846616 3342336 3572224 3795488 5358336 5693232 7144448 7590976 10716672 11386464 14288896 15181952 21433344 22772928 28577792 30363904 42866688 45545856 57155584 60727808 85733376 91091712 114311168 121455616 171466752 182183424 228622336 242911232 342933504 364366848 457244672 485822464 685867008 728733696 971644928 1371734016 1457467392 1943289856 2914934784 3886579712 5829869568 7773159424 11659739136 23319478272