Search a number
-
+
1961786944432 = 247611783161047
BaseRepresentation
bin11100100011000011100…
…111010010101110110000
320221112201022020111101201
4130203003213102232300
5224120214424210212
64101122114340544
7261506623614550
oct34430347225660
96845638214351
101961786944432
11696a9764a627
1227825a58a754
13112cc37805a3
146ad4575b160
153606d320b57
hex1c8c39d2bb0

1961786944432 has 80 divisors (see below), whose sum is σ = 4417672901632. Its totient is φ = 826513839360.

The previous prime is 1961786944423. The next prime is 1961786944441. The reversal of 1961786944432 is 2344496871691.

It is an interprime number because it is at equal distance from previous prime (1961786944423) and next prime (1961786944441).

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, 12100933 + ... + 12261979.

Almost surely, 21961786944432 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 1961786944432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208836450816).

1961786944432 is an abundant number, since it is smaller than the sum of its proper divisors (2455885957200).

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

1961786944432 is a wasteful number, since it uses less digits than its factorization.

1961786944432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162906 (or 162900 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 64.

The spelling of 1961786944432 in words is "one trillion, nine hundred sixty-one billion, seven hundred eighty-six million, nine hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 1783 3416 3566 6832 7132 12481 14264 24962 28528 49924 99848 108763 161047 199696 217526 322094 435052 644188 761341 870104 1127329 1288376 1522682 1740208 2254658 2576752 3045364 4509316 6090728 9018632 9823867 12181456 18037264 19647734 39295468 68767069 78590936 137534138 157181872 275068276 287146801 550136552 574293602 1100273104 1148587204 2010027607 2297174408 4020055214 4594348816 8040110428 16080220856 17515954861 32160441712 35031909722 70063819444 122611684027 140127638888 245223368054 280255277776 490446736108 980893472216 1961786944432