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82078700787028 = 2211311131417337573
BaseRepresentation
bin10010101010011001101111…
…110011011101010101010100
3101202121122110210010002110001
4102222121233303131111110
541224234134400141103
6450322233512341044
723200663502225161
oct2252315763352524
9352548423102401
1082078700787028
1124175421897080
12925749a9a4784
1336a4cb030a70a
14163a8b7825068
159750c6ced01d
hex4aa66fcdd554

82078700787028 has 96 divisors (see below), whose sum is σ = 163197677970432. Its totient is φ = 35782009804800.

The previous prime is 82078700786899. The next prime is 82078700787037.

82078700787028 is nontrivially palindromic in base 10.

82078700787028 is a nontrivial binomial coefficient, being equal to C(12812393, 2).

It is a super-2 number, since 2×820787007870282 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184494050 + ... + 2184531622.

It is an arithmetic number, because the mean of its divisors is an integer number (1699975812192).

Almost surely, 282078700787028 is an apocalyptic number.

82078700787028 is the 12812392-nd triangular number.

82078700787028 is the 4270798-th centered nonagonal number.

It is an amenable number.

82078700787028 is a deficient number, since it is larger than the sum of its proper divisors (81118977183404).

82078700787028 is a wasteful number, since it uses less digits than its factorization.

82078700787028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51905 (or 51903 counting only the distinct ones).

The product of its (nonzero) digits is 39337984, while the sum is 64.

The spelling of 82078700787028 in words is "eighty-two trillion, seventy-eight billion, seven hundred million, seven hundred eighty-seven thousand, twenty-eight".

Divisors: 1 2 4 11 22 31 44 62 113 124 226 341 452 682 1243 1364 2486 3503 4972 7006 14012 14173 28346 37573 38533 56692 75146 77066 150292 154132 155903 311806 413303 439363 623612 826606 878726 1164763 1601549 1653212 1757452 2329526 3203098 4245749 4659052 4832993 6406196 8491498 9665986 12812393 16982996 17617039 19331972 25624786 35234078 46703239 49648019 51249572 70468156 93406478 99296038 131618219 186812956 198592076 263236438 526472876 532522129 546128209 1065044258 1092256418 1447800409 2130088516 2184512836 2895600818 5791201636 5857743419 11715486838 16508185999 23430973676 33016371998 60175000577 66032743996 120350001154 181590045989 240700002308 363180091978 661925006347 726360183956 1323850012694 1865425017887 2647700025388 3730850035774 7461700071548 20519675196757 41039350393514 82078700787028