Search a number
-
+
61001398872 = 23323771322513
BaseRepresentation
bin111000110011111101…
…110111101001011000
312211110021220010202100
4320303331313221120
51444412324230442
644005035403400
74256446222641
oct706375675130
9184407803670
1061001398872
1123963776937
12b9a52b3560
1359a2066cbb
142d498866c8
1518c060d84c
hexe33f77a58

61001398872 has 96 divisors (see below), whose sum is σ = 172067669280. Its totient is φ = 19505525760.

The previous prime is 61001398853. The next prime is 61001398901. The reversal of 61001398872 is 27889310016.

It is a super-4 number, since 4×610013988724 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27888 + ... + 350400.

It is an arithmetic number, because the mean of its divisors is an integer number (1792371555).

Almost surely, 261001398872 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 61001398872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86033834640).

61001398872 is an abundant number, since it is smaller than the sum of its proper divisors (111066270408).

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

61001398872 is a wasteful number, since it uses less digits than its factorization.

61001398872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322633 (or 322626 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61001398872 in words is "sixty-one billion, one million, three hundred ninety-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 15762 21016 23643 31524 47286 63048 94572 189144 322513 645026 967539 1290052 1935078 2580104 2902617 3870156 5805234 7740312 11610468 11932981 22898423 23220936 23865962 35798943 45796846 47731924 68695269 71597886 91593692 95463848 107396829 137390538 143195772 183187384 206085807 214793658 274781076 286391544 412171614 429587316 549562152 824343228 847241651 859174632 1648686456 1694483302 2541724953 3388966604 5083449906 6777933208 7625174859 10166899812 15250349718 20333799624 30500699436 61001398872