Search a number
-
+
75050251104 = 25319269152959
BaseRepresentation
bin100010111100101010…
…1111111001101100000
321011201101021202222210
41011321111333031200
52212200331013404
654251055202120
75264546415543
oct1057125771540
9234641252883
1075050251104
1129912a01514
1212666216340
13710081ba0a
1438bd63885a
151e43b91689
hex117957f360

75050251104 has 96 divisors (see below), whose sum is σ = 208147968000. Its totient is φ = 23611820544.

The previous prime is 75050251013. The next prime is 75050251117. The reversal of 75050251104 is 40115205057.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414177 + ... + 567135.

It is an arithmetic number, because the mean of its divisors is an integer number (2168208000).

Almost surely, 275050251104 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 75050251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104073984000).

75050251104 is an abundant number, since it is smaller than the sum of its proper divisors (133097716896).

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

75050251104 is a wasteful number, since it uses less digits than its factorization.

75050251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153260 (or 153252 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 75050251104 in words is "seventy-five billion, fifty million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 269 304 456 538 608 807 912 1076 1614 1824 2152 3228 4304 5111 6456 8608 10222 12912 15333 20444 25824 30666 40888 61332 81776 122664 152959 163552 245328 305918 458877 490656 611836 917754 1223672 1835508 2447344 2906221 3671016 4894688 5812442 7342032 8718663 11624884 14684064 17437326 23249768 34874652 41145971 46499536 69749304 82291942 92999072 123437913 139498608 164583884 246875826 278997216 329167768 493751652 658335536 781773449 987503304 1316671072 1563546898 1975006608 2345320347 3127093796 3950013216 4690640694 6254187592 9381281388 12508375184 18762562776 25016750368 37525125552 75050251104