Search a number
-
+
77007226157260 = 22571788373661421
BaseRepresentation
bin10001100000100110100100…
…010111000011100011001100
3101002122211002222212120101221
4101200212210113003203030
540043141244344013020
6431440344210413124
722135405565152150
oct2140464427034314
9332584088776357
1077007226157260
112259a643656363
1287786242911a4
1333c799a450419
141503253689060
158d82047d36aa
hex4609a45c38cc

77007226157260 has 96 divisors (see below), whose sum is σ = 195711148902528. Its totient is φ = 24846571868160.

The previous prime is 77007226157201. The next prime is 77007226157291. The reversal of 77007226157260 is 6275162270077.

It is a super-2 number, since 2×770072261572602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77007226157198 and 77007226157207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19201350 + ... + 22862770.

It is an arithmetic number, because the mean of its divisors is an integer number (2038657801068).

Almost surely, 277007226157260 is an apocalyptic number.

77007226157260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77007226157260 is an abundant number, since it is smaller than the sum of its proper divisors (118703922745268).

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

77007226157260 is a wasteful number, since it uses less digits than its factorization.

77007226157260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670291 (or 3670289 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 52.

The spelling of 77007226157260 in words is "seventy-seven trillion, seven billion, two hundred twenty-six million, one hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 8837 17674 35348 44185 61859 88370 123718 150229 176740 247436 300458 309295 600916 618590 751145 1051603 1237180 1502290 2103206 3004580 3661421 4206412 5258015 7322842 10516030 14645684 18307105 21032060 25629947 36614210 51259894 62244157 73228420 102519788 124488314 128149735 248976628 256299470 311220785 435709099 512598940 622441570 871418198 1244883140 1742836396 2178545495 4357090990 8714181980 32355977377 64711954754 129423909508 161779886885 226491841639 323559773770 452983683278 550051615409 647119547540 905967366556 1100103230818 1132459208195 2200206461636 2264918416390 2750258077045 3850361307863 4529836832780 5500516154090 7700722615726 11001032308180 15401445231452 19251806539315 38503613078630 77007226157260