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133642380066 = 231323710933259
BaseRepresentation
bin111110001110110110…
…1001110001100100010
3110202221202201022202020
41330131231032030202
54142144422130231
6141221112002310
712440532326136
oct1743555161442
9422852638666
10133642380066
115174a704198
1221a98690396
13c7aa6a2900
14667b12b3c6
1537229e7396
hex1f1db4e322

133642380066 has 96 divisors (see below), whose sum is σ = 297612285120. Its totient is φ = 39960490752.

The previous prime is 133642380037. The next prime is 133642380097. The reversal of 133642380066 is 660083246331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41005545 + ... + 41008803.

It is an arithmetic number, because the mean of its divisors is an integer number (3100127970).

Almost surely, 2133642380066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133642380066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148806142560).

133642380066 is an abundant number, since it is smaller than the sum of its proper divisors (163969905054).

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

133642380066 is a wasteful number, since it uses less digits than its factorization.

133642380066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 133642380066 in words is "one hundred thirty-three billion, six hundred forty-two million, three hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1093 1443 2186 2886 3259 3279 6253 6518 6558 9777 12506 14209 18759 19554 28418 37518 40441 42367 42627 80882 84734 85254 120583 121323 127101 184717 241166 242646 254202 361749 369434 525733 550771 554151 723498 1051466 1101542 1108302 1567579 1577199 1652313 3135158 3154398 3304626 3562087 4702737 6834529 7124174 9405474 10686261 13669058 20378527 20503587 21372522 40757054 41007174 46307131 61135581 92614262 122271162 131797219 138921393 263594438 277842786 395391657 601992703 790783314 1203985406 1713363847 1805978109 3426727694 3611956218 5140091541 10280183082 22273730011 44547460022 66821190033 133642380066