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133211330448 = 24372340194289
BaseRepresentation
bin111110000010000000…
…0111001011110010000
3110201211201121201211120
41330010000321132100
54140304100033243
6141110233042240
712424046424540
oct1740400713620
9421751551746
10133211330448
1151549361239
1221998256380
13c73c2ac671
146639ba3320
1536e9c4dc83
hex1f04039790

133211330448 has 160 divisors (see below), whose sum is σ = 410588006400. Its totient is φ = 36388036608.

The previous prime is 133211330429. The next prime is 133211330479. The reversal of 133211330448 is 844033112331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31056688 + ... + 31060976.

It is an arithmetic number, because the mean of its divisors is an integer number (2566175040).

Almost surely, 2133211330448 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 133211330448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205294003200).

133211330448 is an abundant number, since it is smaller than the sum of its proper divisors (277376675952).

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

133211330448 is a wasteful number, since it uses less digits than its factorization.

133211330448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 133211330448 its reverse (844033112331), we get a palindrome (977244442779).

The spelling of 133211330448 in words is "one hundred thirty-three billion, two hundred eleven million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 4019 4289 7728 8038 8578 12057 12867 16076 17156 24114 25734 28133 30023 32152 34312 48228 51468 56266 60046 64304 68624 84399 90069 92437 96456 98647 102936 112532 120092 168798 180138 184874 192912 197294 205872 225064 240184 277311 295941 337596 360276 369748 394588 450128 480368 554622 591882 647059 675192 690529 720552 739496 789176 1109244 1183764 1294118 1350384 1381058 1441104 1478992 1578352 1941177 2071587 2218488 2367528 2588236 2762116 3882354 4143174 4436976 4735056 5176472 5524232 7764708 8286348 10352944 11048464 15529416 16572696 17237491 31058832 33145392 34474982 51712473 68949964 103424946 120662437 137899928 206849892 241324874 275799856 361987311 396462293 413699784 482649748 723974622 792924586 827399568 965299496 1189386879 1447949244 1585849172 1930598992 2378773758 2775236051 2895898488 3171698344 4757547516 5550472102 5791796976 6343396688 8325708153 9515095032 11100944204 16651416306 19030190064 22201888408 33302832612 44403776816 66605665224 133211330448