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11792571456381 = 31931113391115101
BaseRepresentation
bin1010101110011010110000…
…0010000101101101111101
31112202100200120200022011220
42223212230002011231331
53021202141243101011
641025233232303553
72324661625332642
oct253465402055575
945670616608156
1011792571456381
113837224178961
1213a55903a1bb9
1367705b371091
142caa990a9dc9
15156b42731506
hexab9ac085b7d

11792571456381 has 64 divisors (see below), whose sum is σ = 17241622364160. Its totient is φ = 7141599360000.

The previous prime is 11792571456307. The next prime is 11792571456397. The reversal of 11792571456381 is 18365417529711.

It is a happy number.

It is not a de Polignac number, because 11792571456381 - 218 = 11792571194237 is a prime.

It is a super-2 number, since 2×117925714563812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792571452381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780905731 + ... + 780920831.

It is an arithmetic number, because the mean of its divisors is an integer number (269400349440).

Almost surely, 211792571456381 is an apocalyptic number.

It is an amenable number.

11792571456381 is a deficient number, since it is larger than the sum of its proper divisors (5449050907779).

11792571456381 is a wasteful number, since it uses less digits than its factorization.

11792571456381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19178.

The product of its digits is 12700800, while the sum is 60.

The spelling of 11792571456381 in words is "eleven trillion, seven hundred ninety-two billion, five hundred seventy-one million, four hundred fifty-six thousand, three hundred eighty-one".

Divisors: 1 3 19 31 57 93 113 339 589 1767 2147 3503 3911 6441 10509 11733 15101 45303 66557 74309 121241 199671 222927 286919 363723 441943 468131 860757 1325829 1404393 1706413 2303579 5119239 6910737 8396917 8894489 13700233 25190751 26683467 32421847 41100699 52898803 59060011 97265541 158696409 177180033 260304427 780913281 1005077257 1122140209 1830860341 3015231771 3366420627 5492581023 6673781243 20021343729 34786346479 104359039437 126801843617 206887218533 380405530851 620661655599 3930857152127 11792571456381