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2681045850 = 235273122657
BaseRepresentation
bin1001111111001101…
…1000001101011010
320220211212020111110
42133303120031122
520442321431400
61122012041150
7123303341130
oct23763301532
96824766443
102681045850
11115642047a
12629a631b6
133395ab382
141b60db750
1510a58de50
hex9fcd835a

2681045850 has 144 divisors (see below), whose sum is σ = 7854836544. Its totient is φ = 592819200.

The previous prime is 2681045837. The next prime is 2681045893. The reversal of 2681045850 is 585401862.

It is a junction number, because it is equal to n+sod(n) for n = 2681045799 and 2681045808.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1007722 + ... + 1010378.

It is an arithmetic number, because the mean of its divisors is an integer number (54547476).

Almost surely, 22681045850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681045850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927418272).

2681045850 is an abundant number, since it is smaller than the sum of its proper divisors (5173790694).

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

2681045850 is a wasteful number, since it uses less digits than its factorization.

2681045850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 2681045850 is about 51778.8166145191. The cubic root of 2681045850 is about 1389.2105742935.

The spelling of 2681045850 in words is "two billion, six hundred eighty-one million, forty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 465 525 651 775 930 961 1050 1085 1302 1550 1922 2170 2325 2657 2883 3255 4650 4805 5314 5425 5766 6510 6727 7971 9610 10850 13285 13454 14415 15942 16275 18599 20181 24025 26570 28830 32550 33635 37198 39855 40362 48050 55797 66425 67270 72075 79710 82367 92995 100905 111594 132850 144150 164734 168175 185990 199275 201810 247101 278985 336350 398550 411835 464975 494202 504525 557970 576569 823670 929950 1009050 1153138 1235505 1394925 1729707 2059175 2471010 2553377 2789850 2882845 3459414 4118350 5106754 5765690 6177525 7660131 8648535 12355050 12766885 14414225 15320262 17297070 17873639 25533770 28828450 35747278 38300655 43242675 53620917 63834425 76601310 86485350 89368195 107241834 127668850 178736390 191503275 268104585 383006550 446840975 536209170 893681950 1340522925 2681045850