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2063954952 = 2333193116223
BaseRepresentation
bin111101100000101…
…0111010000001000
312022211200202221000
41323001113100020
513211333024302
6540445415000
7102101220243
oct17301272010
95284622830
102063954952
1196a0599a4
1249726a460
1326b7aa527
1415818625a
15c12e731c
hex7b057408

2063954952 has 128 divisors (see below), whose sum is σ = 6230016000. Its totient is φ = 630711360.

The previous prime is 2063954927. The next prime is 2063954953. The reversal of 2063954952 is 2594593602.

2063954952 is a `hidden beast` number, since 2 + 0 + 639 + 5 + 4 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2063954898 and 2063954907.

It is not an unprimeable number, because it can be changed into a prime (2063954953) 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 31 ways as a sum of consecutive naturals, for example, 119113 + ... + 135335.

It is an arithmetic number, because the mean of its divisors is an integer number (48672000).

Almost surely, 22063954952 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 2063954952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115008000).

2063954952 is an abundant number, since it is smaller than the sum of its proper divisors (4166061048).

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

2063954952 is a wasteful number, since it uses less digits than its factorization.

2063954952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16288 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2063954952 is about 45430.7709817916. The cubic root of 2063954952 is about 1273.2100890985.

The spelling of 2063954952 in words is "two billion, sixty-three million, nine hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15903 16223 21204 31806 32446 42408 48669 63612 64892 97338 127224 129784 146007 194676 292014 308237 389352 438021 502913 584028 616474 876042 924711 1005826 1168056 1232948 1508739 1752084 1849422 2011652 2465896 2774133 3017478 3504168 3698844 4023304 4526217 5548266 6034956 7397688 8322399 9052434 9555347 11096532 12069912 13578651 16644798 18104868 19110694 22193064 27157302 28666041 33289596 36209736 38221388 54314604 57332082 66579192 76442776 85998123 108629208 114664164 171996246 229328328 257994369 343992492 515988738 687984984 1031977476 2063954952