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1663461476704 = 25293138097079
BaseRepresentation
bin11000001101001110000…
…001111100100101100000
312220000200111020112002101
4120031032001330211200
5204223232114223304
63312103400300144
7231116061153406
oct30151601744540
95800614215071
101663461476704
115915197011a5
1222a481a71654
13c0b2c8521a1
145a724b91476
152d40cb848a4
hex1834e07c960

1663461476704 has 96 divisors (see below), whose sum is σ = 3403374408000. Its totient is φ = 799382298624.

The previous prime is 1663461476669. The next prime is 1663461476707. The reversal of 1663461476704 is 4076741643661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663461476707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234981837 + ... + 234988915.

It is an arithmetic number, because the mean of its divisors is an integer number (35451816750).

Almost surely, 21663461476704 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 1663461476704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701687204000).

1663461476704 is an abundant number, since it is smaller than the sum of its proper divisors (1739912931296).

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

1663461476704 is a wasteful number, since it uses less digits than its factorization.

1663461476704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 55.

The spelling of 1663461476704 in words is "one trillion, six hundred sixty-three billion, four hundred sixty-one million, four hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 313 464 626 809 928 1252 1618 2504 3236 5008 6472 7079 9077 10016 12944 14158 18154 23461 25888 28316 36308 46922 56632 72616 93844 113264 145232 187688 205291 226528 253217 290464 375376 410582 506434 750752 821164 1012868 1642328 2025736 2215727 3284656 4051472 4431454 5726911 6569312 7343293 8102944 8862908 11453822 14686586 17725816 22907644 29373172 35451632 45815288 58746344 64256083 70903264 91630576 117492688 128512166 166080419 183261152 234985376 257024332 332160838 514048664 664321676 1028097328 1328643352 1792523143 2056194656 2657286704 3585046286 5314573408 7170092572 14340185144 28680370288 51983171147 57360740576 103966342294 207932684588 415865369176 831730738352 1663461476704