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66198200592 = 243113106111503
BaseRepresentation
bin111101101001101110…
…000110000100010000
320022212110121000112010
4331221232012010100
52041033214404332
650224441102520
74532311264236
oct755156060420
9208773530463
1066198200592
1126090181997
12109b5787a40
13631c9001c4
1432bdb36956
151ac698b9cc
hexf69b86110

66198200592 has 80 divisors (see below), whose sum is σ = 172703017728. Its totient is φ = 21848279040.

The previous prime is 66198200573. The next prime is 66198200597. The reversal of 66198200592 is 29500289166.

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 (66198200597) 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, 5749113 + ... + 5760615.

Almost surely, 266198200592 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 66198200592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351508864).

66198200592 is an abundant number, since it is smaller than the sum of its proper divisors (106504817136).

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

66198200592 is a wasteful number, since it uses less digits than its factorization.

66198200592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12688 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 66198200592 in words is "sixty-six billion, one hundred ninety-eight million, two hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1061 1356 1808 2122 2712 3183 4244 5424 6366 8488 11503 12732 16976 23006 25464 34509 46012 50928 69018 92024 119893 138036 184048 239786 276072 359679 479572 552144 719358 959144 1299839 1438716 1918288 2599678 2877432 3899517 5199356 5754864 7799034 10398712 12204683 15598068 20797424 24409366 31196136 36614049 48818732 62392272 73228098 97637464 146456196 195274928 292912392 585824784 1379129179 2758258358 4137387537 5516516716 8274775074 11033033432 16549550148 22066066864 33099100296 66198200592