Search a number
-
+
32061510265056 = 2534322733416999
BaseRepresentation
bin1110100101000111001101…
…11011100010100011100000
311012112001100202221211101020
413102203212323202203200
513200243433111440211
6152104504322405440
76516240053462136
oct722434673424340
9135461322854336
1032061510265056
11a241234780438
12371989ab00880
1314b75062a815c
147cbadd105756
153a8ed7dd0306
hex1d28e6ee28e0

32061510265056 has 96 divisors (see below), whose sum is σ = 86156620704000. Its totient is φ = 10434035748864.

The previous prime is 32061510265021. The next prime is 32061510265061. The reversal of 32061510265056 is 65056201516023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32061510264999 and 32061510265017.

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, 7674445 + ... + 11091443.

It is an arithmetic number, because the mean of its divisors is an integer number (897464799000).

Almost surely, 232061510265056 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 32061510265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43078310352000).

32061510265056 is an abundant number, since it is smaller than the sum of its proper divisors (54095110438944).

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

32061510265056 is a wasteful number, since it uses less digits than its factorization.

32061510265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419328 (or 3419320 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 32061510265056 in words is "thirty-two trillion, sixty-one billion, five hundred ten million, two hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 2273 4128 4546 6819 9092 13638 18184 27276 36368 54552 72736 97739 109104 195478 218208 293217 390956 586434 781912 1172868 1563824 2345736 3127648 3416999 4691472 6833998 9382944 10250997 13667996 20501994 27335992 41003988 54671984 82007976 109343968 146930957 164015952 293861914 328031904 440792871 587723828 881585742 1175447656 1763171484 2350895312 3526342968 4701790624 7052685936 7766838727 14105371872 15533677454 23300516181 31067354908 46601032362 62134709816 93202064724 124269419632 186404129448 248538839264 333974065261 372808258896 667948130522 745616517792 1001922195783 1335896261044 2003844391566 2671792522088 4007688783132 5343585044176 8015377566264 10687170088352 16030755132528 32061510265056