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4125169152 = 29321368863
BaseRepresentation
bin1111010111100001…
…0001011000000000
3101122111020022020200
43311320101120000
531422020403102
61521200405200
7204140234136
oct36570213000
911574208220
104125169152
111827606705
12971616800
135098383c0
142b1c17756
1519224c51c
hexf5e11600

4125169152 has 120 divisors (see below), whose sum is σ = 12821512704. Its totient is φ = 1269264384.

The previous prime is 4125169133. The next prime is 4125169157. The reversal of 4125169152 is 2519615214.

4125169152 is a `hidden beast` number, since 4 + 1 + 2 + 516 + 91 + 52 = 666.

It is a super-2 number, since 2×41251691522 = 34034041065224798208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125169157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25473 + ... + 94335.

Almost surely, 24125169152 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 4125169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410756352).

4125169152 is an abundant number, since it is smaller than the sum of its proper divisors (8696343552).

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

4125169152 is a wasteful number, since it uses less digits than its factorization.

4125169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68900 (or 68881 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 4125169152 is about 64227.4797263601. The cubic root of 4125169152 is about 1603.7890863487.

The spelling of 4125169152 in words is "four billion, one hundred twenty-five million, one hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 68863 137726 206589 275452 413178 550904 619767 826356 895219 1101808 1239534 1652712 1790438 2203616 2479068 2685657 3305424 3580876 4407232 4958136 5371314 6610848 7161752 8056971 8814464 9916272 10742628 13221696 14323504 16113942 17628928 19832544 21485256 26443392 28647008 32227884 35257856 39665088 42970512 52886784 57294016 64455768 79330176 85941024 105773568 114588032 128911536 158660352 171882048 229176064 257823072 317320704 343764096 458352128 515646144 687528192 1031292288 1375056384 2062584576 4125169152