Search a number
-
+
73834022088 = 233231210332
BaseRepresentation
bin100010011000011011…
…0011100010011001000
321001120121201221102200
41010300312130103020
52202203002201323
653530251200200
75222450555421
oct1046066342310
9231517657380
1073834022088
1129349420672
1212386a46060
136c68864688
143805cc2648
151dc1eec443
hex1130d9c4c8

73834022088 has 108 divisors (see below), whose sum is σ = 206825997105. Its totient is φ = 23794369920.

The previous prime is 73834022051. The next prime is 73834022089. The reversal of 73834022088 is 88022043837.

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.

73834022088 is a `hidden beast` number, since 7 + 3 + 8 + 340 + 220 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50401148004 + 23432874084 = 224502^2 + 153078^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=192138.

It is not an unprimeable number, because it can be changed into a prime (73834022089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71474820 + ... + 71475852.

Almost surely, 273834022088 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 73834022088

73834022088 is an abundant number, since it is smaller than the sum of its proper divisors (132991975017).

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

73834022088 is a wasteful number, since it uses less digits than its factorization.

73834022088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 73834022088 in words is "seventy-three billion, eight hundred thirty-four million, twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1033 1116 1922 2066 2232 2883 3099 3844 4132 5766 6198 7688 8264 8649 9297 11532 12396 17298 18594 23064 24792 32023 34596 37188 64046 69192 74376 96069 128092 192138 256184 288207 384276 576414 768552 992713 1067089 1152828 1985426 2134178 2305656 2978139 3201267 3970852 4268356 5956278 6402534 7941704 8536712 8934417 9603801 11912556 12805068 17868834 19207602 23825112 25610136 33079759 35737668 38415204 66159518 71475336 76830408 99239277 132319036 198478554 264638072 297717831 396957108 595435662 793914216 1025472529 1190871324 2050945058 2381742648 3076417587 4101890116 6152835174 8203780232 9229252761 12305670348 18458505522 24611340696 36917011044 73834022088