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133781022848 = 2711229392
BaseRepresentation
bin111110010010111111…
…0000110100010000000
3110210022102121002220002
41330211332012202000
54142440420212343
6141242543335132
712444134634404
oct1744576064200
9423272532802
10133781022848
1151810999600
1221b16bb14a8
13c800326265
1466916db104
15372ec818b8
hex1f25f86880

133781022848 has 72 divisors (see below), whose sum is σ = 293048017815. Its totient is φ = 60788865280.

The previous prime is 133781022847. The next prime is 133781022871. The reversal of 133781022848 is 848220187331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 66890511424 + 66890511424 = 258632^2 + 258632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=258632.

It is a super-2 number, since 2×1337810228482 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133781022847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45517763 + ... + 45520701.

Almost surely, 2133781022848 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 133781022848

133781022848 is an abundant number, since it is smaller than the sum of its proper divisors (159266994967).

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

133781022848 is an frugal number, since it uses more digits than its factorization.

133781022848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 133781022848 in words is "one hundred thirty-three billion, seven hundred eighty-one million, twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 2939 3872 5878 7744 11756 15488 23512 32329 47024 64658 94048 129316 188096 258632 355619 376192 517264 711238 1034528 1422476 2069056 2844952 4138112 5689904 8637721 11379808 17275442 22759616 34550884 45519232 69101768 95014931 138203536 190029862 276407072 380059724 552814144 760119448 1045164241 1105628288 1520238896 2090328482 3040477792 4180656964 6080955584 8361313928 12161911168 16722627856 33445255712 66890511424 133781022848