Search a number
-
+
73908025056 = 25321129227303
BaseRepresentation
bin100010011010101000…
…0101111011011100000
321001202202222200102100
41010311100233123200
52202330423300211
653541453250400
75224336563465
oct1046520573340
9231682880370
1073908025056
1129387176148
12123a7793a00
136c7aca5208
143811a6766c
151dc8769156
hex113542f6e0

73908025056 has 72 divisors (see below), whose sum is σ = 210363032880. Its totient is φ = 24614078976.

The previous prime is 73908025049. The next prime is 73908025057. The reversal of 73908025056 is 65052080937.

It is a happy number.

73908025056 is a `hidden beast` number, since 7 + 390 + 8 + 0 + 250 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73908025057) 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 11 ways as a sum of consecutive naturals, for example, 211501 + ... + 438803.

It is an arithmetic number, because the mean of its divisors is an integer number (2921708790).

Almost surely, 273908025056 is an apocalyptic number.

It is an amenable number.

73908025056 is an abundant number, since it is smaller than the sum of its proper divisors (136455007824).

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

73908025056 is a wasteful number, since it uses less digits than its factorization.

73908025056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228448 (or 228437 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73908025056 in words is "seventy-three billion, nine hundred eight million, twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1129 2258 3387 4516 6774 9032 10161 13548 18064 20322 27096 36128 40644 54192 81288 108384 162576 227303 325152 454606 681909 909212 1363818 1818424 2045727 2727636 3636848 4091454 5455272 7273696 8182908 10910544 16365816 21821088 32731632 65463264 256625087 513250174 769875261 1026500348 1539750522 2053000696 2309625783 3079501044 4106001392 4619251566 6159002088 8212002784 9238503132 12318004176 18477006264 24636008352 36954012528 73908025056