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153453392961 = 311295322313567
BaseRepresentation
bin1000111011101010001…
…0001111010001000001
3112200002102122001102120
42032322202033101001
510003233032033321
6154255010434453
714041501214211
oct2167242172101
9480072561376
10153453392961
115a096492420
12258a7292a29
1311616b7ab4b
1475da29a241
153ed1d81ec6
hex23ba88f441

153453392961 has 64 divisors (see below), whose sum is σ = 236330680320. Its totient is φ = 87699306240.

The previous prime is 153453392957. The next prime is 153453392969. The reversal of 153453392961 is 169293354351.

It is not a de Polignac number, because 153453392961 - 22 = 153453392957 is a prime.

It is a super-2 number, since 2×1534533929612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153453392969) 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 63 ways as a sum of consecutive naturals, for example, 11304000 + ... + 11317566.

It is an arithmetic number, because the mean of its divisors is an integer number (3692666880).

Almost surely, 2153453392961 is an apocalyptic number.

153453392961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153453392961 is a deficient number, since it is larger than the sum of its proper divisors (82877287359).

153453392961 is a wasteful number, since it uses less digits than its factorization.

153453392961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886.

The product of its digits is 2624400, while the sum is 51.

The spelling of 153453392961 in words is "one hundred fifty-three billion, four hundred fifty-three million, three hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 3 11 29 33 53 87 159 223 319 583 669 957 1537 1749 2453 4611 6467 7359 11819 13567 16907 19401 35457 40701 50721 71137 130009 149237 213411 342751 390027 393443 447711 719051 1028253 1180329 2157153 3025441 3770261 4327873 7909561 9076323 11310783 12983619 20852479 23728683 33279851 62557437 87737789 99839553 160348373 229377269 263213367 481045119 688131807 965115679 1763832103 2895347037 4650102817 5291496309 13950308451 51151130987 153453392961