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133772756550 = 235273310391171
BaseRepresentation
bin111110010010101111…
…0100100011001000110
3110210021212001010122220
41330211132210121012
54142431311202200
6141242050233210
712444004445406
oct1744536443106
9423255033586
10133772756550
1151807262a54
1221b14285806
13c7cb6c0864
146690588806
15372e19c4a0
hex1f257a4646

133772756550 has 96 divisors (see below), whose sum is σ = 332812746240. Its totient is φ = 35559388800.

The previous prime is 133772756531. The next prime is 133772756587. The reversal of 133772756550 is 55657277331.

133772756550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133772756493 and 133772756502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114237465 + ... + 114238635.

It is an arithmetic number, because the mean of its divisors is an integer number (3466799440).

Almost surely, 2133772756550 is an apocalyptic number.

133772756550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133772756550 is an abundant number, since it is smaller than the sum of its proper divisors (199039989690).

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

133772756550 is a wasteful number, since it uses less digits than its factorization.

133772756550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 51.

The spelling of 133772756550 in words is "one hundred thirty-three billion, seven hundred seventy-two million, seven hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 733 1039 1171 1466 2078 2199 2342 3117 3513 3665 4398 5195 5855 6234 7026 7330 10390 10995 11710 15585 17565 18325 21990 25975 29275 31170 35130 36650 51950 54975 58550 77925 87825 109950 155850 175650 761587 858343 1216669 1523174 1716686 2284761 2433338 2575029 3650007 3807935 4291715 4569522 5150058 6083345 7300014 7615870 8583430 11423805 12166690 12875145 18250035 19039675 21458575 22847610 25750290 30416725 36500070 38079350 42917150 57119025 60833450 64375725 91250175 114238050 128751450 182500350 891818377 1783636754 2675455131 4459091885 5350910262 8918183770 13377275655 22295459425 26754551310 44590918850 66886378275 133772756550