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66980357028004 = 227426892593609
BaseRepresentation
bin11110011101011000101000…
…11000110011100010100100
322210011021000020122010110011
433032230110120303202210
532234401232344344004
6354242203510540004
720052112454620000
oct1716542430634244
9283137006563404
1066980357028004
111a3842344058a2
1276192aa067604
132b4b2b3776264
141277c1bc63700
157b24a5a5c004
hex3ceb146338a4

66980357028004 has 60 divisors (see below), whose sum is σ = 136794331316300. Its totient is φ = 28695180939264.

The previous prime is 66980357027933. The next prime is 66980357028103. The reversal of 66980357028004 is 40082075308966.

It can be written as a sum of positive squares in 2 ways, for example, as 2874713468004 + 64105643560000 = 1695498^2 + 8006600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66980357028004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24528352 + ... + 27121960.

Almost surely, 266980357028004 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 66980357028004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397165658150).

66980357028004 is an abundant number, since it is smaller than the sum of its proper divisors (69813974288296).

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

66980357028004 is a wasteful number, since it uses less digits than its factorization.

66980357028004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596330 (or 2596307 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 66980357028004 in words is "sixty-six trillion, nine hundred eighty billion, three hundred fifty-seven million, twenty-eight thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 2689 4802 5378 9604 10756 18823 37646 75292 131761 263522 527044 922327 1844654 2593609 3689308 5187218 6456289 10374436 12912578 18155263 25825156 36310526 72621052 127086841 254173682 508347364 889607887 1779215774 3558431548 6227255209 6974214601 12454510418 13948429202 24909020836 27896858404 48819502207 97639004414 195278008828 341736515449 683473030898 1366946061796 2392155608143 4784311216286 9568622432572 16745089257001 33490178514002 66980357028004