Search a number
-
+
95033897952 = 2537643219937
BaseRepresentation
bin101100010000001110…
…1100011001111100000
3100002022002001012221020
41120200131203033200
53024112134213302
6111354042125440
76603012542610
oct1304035431740
9302262035836
1095033897952
1137338181134
12165027b0880
138c669bc116
1448576a4a40
15271327bebc
hex16207633e0

95033897952 has 96 divisors (see below), whose sum is σ = 285546385152. Its totient is φ = 27110191104.

The previous prime is 95033897939. The next prime is 95033897969. The reversal of 95033897952 is 25979833059.

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

It is a super-2 number, since 2×950338979522 (a number of 23 digits) contains 22 as substring.

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, 322128 + ... + 542064.

It is an arithmetic number, because the mean of its divisors is an integer number (2974441512).

Almost surely, 295033897952 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 95033897952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142773192576).

95033897952 is an abundant number, since it is smaller than the sum of its proper divisors (190512487200).

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

95033897952 is a wasteful number, since it uses less digits than its factorization.

95033897952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220600 (or 220592 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 60.

It can be divided in two parts, 9503389 and 7952, that added together give a triangular number (9511341 = T4361).

The spelling of 95033897952 in words is "ninety-five billion, thirty-three million, eight hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 643 672 1286 1929 2572 3858 4501 5144 7716 9002 10288 13503 15432 18004 20576 27006 30864 36008 54012 61728 72016 108024 144032 216048 219937 432096 439874 659811 879748 1319622 1539559 1759496 2639244 3079118 3518992 4618677 5278488 6158236 7037984 9237354 10556976 12316472 18474708 21113952 24632944 36949416 49265888 73898832 141419491 147797664 282838982 424258473 565677964 848516946 989936437 1131355928 1697033892 1979872874 2262711856 2969809311 3394067784 3959745748 4525423712 5939618622 6788135568 7919491496 11879237244 13576271136 15838982992 23758474488 31677965984 47516948976 95033897952