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6972056140380 = 2235373140565829
BaseRepresentation
bin110010101110100111011…
…1011011111101001011100
3220200112002120122211100120
41211131032323133221130
51403212232332443010
622454530211354540
71316500023243552
oct145351673375134
926615076584316
106972056140380
112248917a25a91
129472935b2a50
133b7601235b56
141a1640cdbbd2
15c155c376e70
hex6574eedfa5c

6972056140380 has 48 divisors (see below), whose sum is σ = 20049372258720. Its totient is φ = 1808965916928.

The previous prime is 6972056140373. The next prime is 6972056140393. The reversal of 6972056140380 is 830416502796.

It is a super-2 number, since 2×69720561403802 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 1570280695 + ... + 1570285134.

It is an arithmetic number, because the mean of its divisors is an integer number (417695255390).

It is a 1-persistent number, because it is pandigital, but 2⋅6972056140380 = 13944112280760 is not.

Almost surely, 26972056140380 is an apocalyptic number.

6972056140380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6972056140380 is an abundant number, since it is smaller than the sum of its proper divisors (13077316118340).

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

6972056140380 is a wasteful number, since it uses less digits than its factorization.

6972056140380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140565878 (or 3140565876 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 6972056140380 in words is "six trillion, nine hundred seventy-two billion, fifty-six million, one hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3140565829 6281131658 9421697487 12562263316 15702829145 18843394974 31405658290 37686789948 47108487435 62811316580 94216974870 116200935673 188433949740 232401871346 348602807019 464803742692 581004678365 697205614038 1162009356730 1394411228076 1743014035095 2324018713460 3486028070190 6972056140380