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66190403712 = 2739712231453
BaseRepresentation
bin111101101001010000…
…010110100010000000
320022211220220220012210
4331221100112202000
52041024220404322
650224002022120
74532155101636
oct755120264200
9208756826183
1066190403712
1126086836a94
12109b3047940
13631b100374
1432bcaa7356
151ac5e4b70c
hexf69416880

66190403712 has 128 divisors (see below), whose sum is σ = 177898412160. Its totient is φ = 21803139072.

The previous prime is 66190403701. The next prime is 66190403717. The reversal of 66190403712 is 21730409166.

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 (66190403717) 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, 45553578 + ... + 45555030.

It is an arithmetic number, because the mean of its divisors is an integer number (1389831345).

Almost surely, 266190403712 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 66190403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88949206080).

66190403712 is an abundant number, since it is smaller than the sum of its proper divisors (111708008448).

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

66190403712 is a wasteful number, since it uses less digits than its factorization.

66190403712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 66190403712 in words is "sixty-six billion, one hundred ninety million, four hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1223 1453 1552 2328 2446 2906 3104 3669 4359 4656 4892 5812 6208 7338 8718 9312 9784 11624 12416 14676 17436 18624 19568 23248 29352 34872 37248 39136 46496 58704 69744 78272 92992 117408 118631 139488 140941 156544 185984 234816 237262 278976 281882 355893 422823 469632 474524 557952 563764 711786 845646 949048 1127528 1423572 1691292 1777019 1898096 2255056 2847144 3382584 3554038 3796192 4510112 5331057 5694288 6765168 7108076 7592384 9020224 10662114 11388576 13530336 14216152 15184768 18040448 21324228 22777152 27060672 28432304 42648456 45554304 54121344 56864608 85296912 113729216 170593824 172370843 227458432 341187648 344741686 517112529 682375296 689483372 1034225058 1378966744 2068450116 2757933488 4136900232 5515866976 8273800464 11031733952 16547600928 22063467904 33095201856 66190403712