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189513763944 = 233311496832503
BaseRepresentation
bin1011000001111111100…
…1101000110001101000
3200010011112120200220020
42300133321220301220
511101111010421234
6223021133400440
716456220262141
oct2603771506150
9603145520806
10189513763944
117341064090a
123088b939120
1314b4298877b
14925b54aac8
154de2a6b549
hex2c1fe68c68

189513763944 has 128 divisors (see below), whose sum is σ = 493267968000. Its totient is φ = 60610049280.

The previous prime is 189513763937. The next prime is 189513763961. The reversal of 189513763944 is 449367315981.

189513763944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75713397 + ... + 75715899.

It is an arithmetic number, because the mean of its divisors is an integer number (3853656000).

Almost surely, 2189513763944 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 189513763944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246633984000).

189513763944 is an abundant number, since it is smaller than the sum of its proper divisors (303754204056).

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

189513763944 is a wasteful number, since it uses less digits than its factorization.

189513763944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 189513763944 in words is "one hundred eighty-nine billion, five hundred thirteen million, seven hundred sixty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 372 447 596 683 744 894 1192 1366 1788 2049 2503 2732 3576 4098 4619 5006 5464 7509 8196 9238 10012 13857 15018 16392 18476 20024 21173 27714 30036 36952 42346 55428 60072 63519 77593 84692 101767 110856 127038 155186 169384 203534 232779 254076 305301 310372 372947 407068 465558 508152 610602 620744 745894 814136 931116 1118841 1221204 1491788 1709549 1862232 2237682 2442408 2983576 3154777 3419098 4475364 5128647 6309554 6838196 8950728 9464331 10257294 11561357 12619108 13676392 18928662 20514588 23122714 25238216 34684071 37857324 41029176 46245428 52996019 69368142 75714648 92490856 105992038 138736284 158988057 211984076 254722801 277472568 317976114 423968152 509445602 635952228 764168403 1018891204 1271904456 1528336806 2037782408 3056673612 6113347224 7896406831 15792813662 23689220493 31585627324 47378440986 63171254648 94756881972 189513763944