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2691685152 = 2532131076719
BaseRepresentation
bin1010000001101111…
…1101101100100000
320221120212202212200
42200123331230200
521003032411102
61123032053200
7123462642402
oct24033755440
96846782780
102691685152
111161427992
12631534200
1333b864c10
141b76aab72
1510b49151c
hexa06fdb20

2691685152 has 144 divisors (see below), whose sum is σ = 8321564160. Its totient is φ = 820348416.

The previous prime is 2691685121. The next prime is 2691685153. The reversal of 2691685152 is 2515861962.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2691685098 and 2691685107.

It is not an unprimeable number, because it can be changed into a prime (2691685153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397249 + ... + 403967.

It is an arithmetic number, because the mean of its divisors is an integer number (57788640).

Almost surely, 22691685152 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 2691685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2691685152 is an abundant number, since it is smaller than the sum of its proper divisors (5629879008).

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

2691685152 is a wasteful number, since it uses less digits than its factorization.

2691685152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6844 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2691685152 is about 51881.4528709442. The cubic root of 2691685152 is about 1391.0457689230.

The spelling of 2691685152 in words is "two billion, six hundred ninety-one million, six hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 6719 7704 8346 10272 11128 12519 13438 15408 16692 20157 22256 25038 26876 30816 33384 40314 44512 50076 53752 60471 66768 80628 87347 100152 107504 120942 133536 161256 174694 200304 215008 241884 262041 322512 349388 400608 483768 524082 645024 698776 718933 786123 967536 1048164 1397552 1437866 1572246 1935072 2096328 2156799 2795104 2875732 3144492 4192656 4313598 5751464 6288984 6470397 8385312 8627196 9346129 11502928 12577968 12940794 17254392 18692258 23005856 25155936 25881588 28038387 34508784 37384516 51763176 56076774 69017568 74769032 84115161 103526352 112153548 149538064 168230322 207052704 224307096 299076128 336460644 448614192 672921288 897228384 1345842576 2691685152