Search a number
-
+
749354115081 = 3111371127307631
BaseRepresentation
bin10101110011110001111…
…11000110000000001001
32122122012202222012211010
422321320333012000021
544234134123140311
61332125403154133
7105065456611605
oct12717077060011
92578182865733
10749354115081
11269887953860
12101291215949
1355882466a30
14283a9d46505
151475bdb8da6
hexae78fc6009

749354115081 has 128 divisors (see below), whose sum is σ = 1205534195712. Its totient is φ = 408076704000.

The previous prime is 749354115071. The next prime is 749354115089. The reversal of 749354115081 is 180511453947.

It is not a de Polignac number, because 749354115081 - 25 = 749354115049 is a prime.

It is a super-2 number, since 2×7493541150812 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 749354115081.

It is not an unprimeable number, because it can be changed into a prime (749354115089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1187565636 + ... + 1187566266.

It is an arithmetic number, because the mean of its divisors is an integer number (9418235904).

Almost surely, 2749354115081 is an apocalyptic number.

749354115081 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

749354115081 is a deficient number, since it is larger than the sum of its proper divisors (456180080631).

749354115081 is a wasteful number, since it uses less digits than its factorization.

749354115081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 749354115081 in words is "seven hundred forty-nine billion, three hundred fifty-four million, one hundred fifteen thousand, eighty-one".

Divisors: 1 3 11 13 33 39 71 127 143 213 307 381 429 631 781 921 923 1397 1651 1893 2343 2769 3377 3991 4191 4953 6941 8203 9017 10131 10153 11973 18161 20823 21797 24609 27051 30459 38989 43901 44801 54483 65391 80137 90233 99187 116967 117221 131703 134403 193717 239767 240411 270699 283361 297561 351663 428879 492811 506857 581151 582413 719301 850083 881507 1041781 1286637 1289431 1478433 1520571 1747239 2130887 2518321 2644521 2768219 3116971 3125343 3868293 5575427 5689727 6392661 6406543 7554963 8304657 9350913 11459591 13753907 16726281 17069181 19219629 24602059 27701531 30450409 34378773 35986847 41261721 62586997 73806177 73966451 83104593 91351227 107960541 151292977 178800791 187760991 221899353 270622649 319826767 395855317 453878931 536402373 811867947 813630961 959480301 1187565951 1746746189 1966808701 2440892883 3518094437 5240238567 5900426103 10554283311 19214208079 22707700457 57642624237 68123101371 249784705027 749354115081