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6803481354174 = 23223412691490029
BaseRepresentation
bin110001100000000111100…
…0101101101111110111110
3220002101222022110102000100
41203000033011231332332
51342432012211313144
622245250504541530
71301351416223631
oct143001705557676
926071868412010
106803481354174
11219338194905a
1291a6881818a6
133a4747647b4b
1419740c65bc18
15bbe92c02269
hex6300f16dfbe

6803481354174 has 96 divisors (see below), whose sum is σ = 15815536027200. Its totient is φ = 2108449221120.

The previous prime is 6803481354161. The next prime is 6803481354191. The reversal of 6803481354174 is 4714531843086.

6803481354174 is a `hidden beast` number, since 6 + 80 + 3 + 4 + 8 + 13 + 541 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6803481354174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3820992 + ... + 5311020.

It is an arithmetic number, because the mean of its divisors is an integer number (164745166950).

Almost surely, 26803481354174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6803481354174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907768013600).

6803481354174 is an abundant number, since it is smaller than the sum of its proper divisors (9012054673026).

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

6803481354174 is a wasteful number, since it uses less digits than its factorization.

6803481354174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490370 (or 1490367 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6803481354174 in words is "six trillion, eight hundred three billion, four hundred eighty-one million, three hundred fifty-four thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 269 369 414 538 738 807 943 1614 1886 2421 2829 4842 5658 6187 8487 11029 12374 16974 18561 22058 33087 37122 55683 66174 99261 111366 198522 253667 507334 761001 1490029 1522002 2283003 2980058 4470087 4566006 8940174 13410261 26820522 34270667 61091189 68541334 102812001 122182378 183273567 205624002 308436003 366547134 400817801 549820701 616872006 801635602 1099641402 1202453403 1405097347 2404906806 2810194694 3607360209 4215292041 7214720418 8430584082 9218809423 12645876123 16433529841 18437618846 25291752246 27656428269 32867059682 49300589523 55312856538 82969284807 98601179046 147901768569 165938569614 295803537138 377971186343 755942372686 1133913559029 2267827118058 3401740677087 6803481354174