Search a number
-
+
75401683740 = 223252968321149
BaseRepresentation
bin100011000111001001…
…0100110001100011100
321012121212120101221100
41012032102212030130
52213410312334430
654350011433100
75306344510515
oct1061622461434
9235555511840
1075401683740
1129a83315009
1212743a55790
137158587016
143914199a0c
151e6495e960
hex118e4a631c

75401683740 has 144 divisors (see below), whose sum is σ = 236962908000. Its totient is φ = 19384425984.

The previous prime is 75401683729. The next prime is 75401683751. The reversal of 75401683740 is 4738610457.

75401683740 is a `hidden beast` number, since 7 + 540 + 1 + 68 + 3 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (75401683729) and next prime (75401683751).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554686 + ... + 3575834.

It is an arithmetic number, because the mean of its divisors is an integer number (1645575750).

Almost surely, 275401683740 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 75401683740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118481454000).

75401683740 is an abundant number, since it is smaller than the sum of its proper divisors (161561224260).

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

75401683740 is a wasteful number, since it uses less digits than its factorization.

75401683740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876 (or 21871 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 75401683740 in words is "seventy-five billion, four hundred one million, six hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 683 870 1044 1305 1366 1740 2049 2610 2732 3415 4098 5220 6147 6830 8196 10245 12294 13660 19807 20490 21149 24588 30735 39614 40980 42298 59421 61470 63447 79228 84596 99035 105745 118842 122940 126894 178263 190341 198070 211490 237684 253788 297105 317235 356526 380682 396140 422980 594210 613321 634470 713052 761364 891315 951705 1188420 1226642 1268940 1782630 1839963 1903410 2453284 3066605 3565260 3679926 3806820 5519889 6133210 7359852 9199815 11039778 12266420 14444767 18399630 22079556 27599445 28889534 36799260 43334301 55198890 57779068 72223835 86668602 110397780 130002903 144447670 173337204 216671505 260005806 288895340 418898243 433343010 520011612 650014515 837796486 866686020 1256694729 1300029030 1675592972 2094491215 2513389458 2600058060 3770084187 4188982430 5026778916 6283473645 7540168374 8377964860 12566947290 15080336748 18850420935 25133894580 37700841870 75401683740