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71720927232 = 21532331721
BaseRepresentation
bin100001011001011100…
…1101000000000000000
320212010100120121020020
41002302321220000000
52133341024132412
652540444213440
75116211552133
oct1026271500000
9225110517206
1071720927232
1128464659189
1211a9723a280
1369bcb403a6
1436853c821a
151ceb74a18c
hex10b2e68000

71720927232 has 128 divisors (see below), whose sum is σ = 199574521920. Its totient is φ = 22866821120.

The previous prime is 71720927227. The next prime is 71720927233. The reversal of 71720927232 is 23272902717.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (71720927233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2245132 + ... + 2276852.

Almost surely, 271720927232 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 71720927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99787260960).

71720927232 is an abundant number, since it is smaller than the sum of its proper divisors (127853594688).

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

71720927232 is an equidigital number, since it uses as much as digits as its factorization.

71720927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31777 (or 31749 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 71720927232 in words is "seventy-one billion, seven hundred twenty million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8192 8832 11776 12288 16384 17664 23552 24576 31721 32768 35328 47104 49152 63442 70656 94208 95163 98304 126884 141312 188416 190326 253768 282624 376832 380652 507536 565248 729583 753664 761304 1015072 1130496 1459166 1522608 2030144 2188749 2260992 2918332 3045216 4060288 4377498 5836664 6090432 8120576 8754996 11673328 12180864 16241152 17509992 23346656 24361728 32482304 35019984 46693312 48723456 64964608 70039968 93386624 97446912 129929216 140079936 186773248 194893824 259858432 280159872 373546496 389787648 519716864 560319744 747092992 779575296 1039433728 1120639488 1494185984 1559150592 2241278976 2988371968 3118301184 4482557952 5976743936 8965115904 11953487872 17930231808 23906975744 35860463616 71720927232