Search a number
-
+
75441769040 = 245111716730197
BaseRepresentation
bin100011001000010101…
…1100000101001010000
321012201122222221122002
41012100223200221100
52214001043102130
654354002533132
75310342312341
oct1062053405120
9235648887562
1075441769040
1129aa3a03760
12127553671a8
137163980631
1439196320c8
151e6822bb45
hex1190ae0a50

75441769040 has 160 divisors (see below), whose sum is σ = 203823454464. Its totient is φ = 25664184320.

The previous prime is 75441768967. The next prime is 75441769061. The reversal of 75441769040 is 4096714457.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483222 + ... + 2513418.

Almost surely, 275441769040 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 75441769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911727232).

75441769040 is an abundant number, since it is smaller than the sum of its proper divisors (128381685424).

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

75441769040 is a wasteful number, since it uses less digits than its factorization.

75441769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30405 (or 30399 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 75441769040 in words is "seventy-five billion, four hundred forty-one million, seven hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 167 170 176 187 220 272 334 340 374 440 668 680 748 835 880 935 1336 1360 1496 1670 1837 1870 2672 2839 2992 3340 3674 3740 5678 6680 7348 7480 9185 11356 13360 14195 14696 14960 18370 22712 28390 29392 30197 31229 36740 45424 56780 60394 62458 73480 113560 120788 124916 146960 150985 156145 227120 241576 249832 301970 312290 332167 483152 499664 513349 603940 624580 664334 1026698 1207880 1249160 1328668 1660835 2053396 2415760 2498320 2566745 2657336 3321670 4106792 5042899 5133490 5314672 5646839 6643340 8213584 10085798 10266980 11293678 13286680 20171596 20533960 22587356 25214495 26573360 28234195 40343192 41067920 45174712 50428990 55471889 56468390 80686384 85729283 90349424 100857980 110943778 112936780 171458566 201715960 221887556 225873560 277359445 342917132 403431920 428646415 443775112 451747120 554718890 685834264 857292830 887550224 943022113 1109437780 1371668528 1714585660 1886044226 2218875560 3429171320 3772088452 4437751120 4715110565 6858342640 7544176904 9430221130 15088353808 18860442260 37720884520 75441769040