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2196672697856 = 29713139339187
BaseRepresentation
bin11111111101110011111…
…001010101011000000000
321202222222220020001222202
4133331303321111120000
5241442241202312411
64401045411252332
7314463411565520
oct37756371253000
97688886201882
102196672697856
1177767051a6aa
122b58912aa0a8
1312c1b74321c0
1478468ac9680
153c2192a983b
hex1ff73e55600

2196672697856 has 160 divisors (see below), whose sum is σ = 5440792600320. Its totient is φ = 862758936576.

The previous prime is 2196672697853. The next prime is 2196672697859. The reversal of 2196672697856 is 6587962766912.

It is an interprime number because it is at equal distance from previous prime (2196672697853) and next prime (2196672697859).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196672697853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6306695 + ... + 6645881.

It is an arithmetic number, because the mean of its divisors is an integer number (34004953752).

Almost surely, 22196672697856 is an apocalyptic number.

2196672697856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196672697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720396300160).

2196672697856 is an abundant number, since it is smaller than the sum of its proper divisors (3244119902464).

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

2196672697856 is a wasteful number, since it uses less digits than its factorization.

2196672697856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339364 (or 339348 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 74.

The spelling of 2196672697856 in words is "two trillion, one hundred ninety-six billion, six hundred seventy-two million, six hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 139 182 208 224 256 278 364 416 448 512 556 728 832 896 973 1112 1456 1664 1792 1807 1946 2224 2912 3328 3584 3614 3892 4448 5824 6656 7228 7784 8896 11648 12649 14456 15568 17792 23296 25298 28912 31136 35584 46592 50596 57824 62272 71168 101192 115648 124544 202384 231296 249088 339187 404768 462592 498176 678374 809536 925184 1356748 1619072 2374309 2713496 3238144 4409431 4748618 5426992 6476288 8818862 9497236 10853984 17637724 18994472 21707968 30866017 35275448 37988944 43415936 47146993 61732034 70550896 75977888 86831872 94293986 123464068 141101792 151955776 173663744 188587972 246928136 282203584 303911552 330028951 377175944 493856272 564407168 607823104 612910909 660057902 754351888 987712544 1128814336 1215646208 1225821818 1320115804 1508703776 1975425088 2257628672 2451643636 2640231608 3017407552 3950850176 4290376363 4903287272 5280463216 6034815104 7901700352 8580752726 9806574544 10560926432 12069630208 15803400704 17161505452 19613149088 21121852864 24139260416 34323010904 39226298176 42243705728 68646021808 78452596352 84487411456 137292043616 156905192704 168974822912 274584087232 313810385408 549168174464 1098336348928 2196672697856