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2061634032 = 24344013967
BaseRepresentation
bin111101011100010…
…0000100111110000
312022200022212020000
41322320200213300
513210234242112
6540323550000
7102042412563
oct17270404760
95280285200
102061634032
11968814187
1249652b300
1326b176cc3
14157b404da
15c0ed97dc
hex7ae209f0

2061634032 has 100 divisors (see below), whose sum is σ = 5983355136. Its totient is φ = 685324800.

The previous prime is 2061634027. The next prime is 2061634033. The reversal of 2061634032 is 2304361602.

2061634032 is a `hidden beast` number, since 2 + 0 + 616 + 3 + 40 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2061633987 and 2061634005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061634033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 517713 + ... + 521679.

Almost surely, 22061634032 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 2061634032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991677568).

2061634032 is an abundant number, since it is smaller than the sum of its proper divisors (3921721104).

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

2061634032 is a wasteful number, since it uses less digits than its factorization.

2061634032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2061634032 is about 45405.2203166112. The cubic root of 2061634032 is about 1272.7326679722.

Adding to 2061634032 its reverse (2304361602), we get a palindrome (4365995634).

The spelling of 2061634032 in words is "two billion, sixty-one million, six hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 401 432 648 802 1203 1296 1604 2406 3208 3609 3967 4812 6416 7218 7934 9624 10827 11901 14436 15868 19248 21654 23802 28872 31736 32481 35703 43308 47604 57744 63472 64962 71406 86616 95208 107109 129924 142812 173232 190416 214218 259848 285624 321327 428436 519696 571248 642654 856872 1285308 1590767 1713744 2570616 3181534 4772301 5141232 6363068 9544602 12726136 14316903 19089204 25452272 28633806 38178408 42950709 57267612 76356816 85901418 114535224 128852127 171802836 229070448 257704254 343605672 515408508 687211344 1030817016 2061634032