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45685355820 = 22351364790527
BaseRepresentation
bin101010100011000011…
…110011010100101100
311100220220001112111120
4222203003303110230
51222030422341240
632553151420540
73205061055126
oct524303632454
9140826045446
1045685355820
1118414213015
128a2bb24750
134400bc3b30
1422d56b4216
1512c5bbbad0
hexaa30f352c

45685355820 has 96 divisors (see below), whose sum is σ = 137973362688. Its totient is φ = 11228120832.

The previous prime is 45685355819. The next prime is 45685355827. The reversal of 45685355820 is 2855358654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45685355827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459397 + ... + 549923.

It is an arithmetic number, because the mean of its divisors is an integer number (1437222528).

Almost surely, 245685355820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45685355820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68986681344).

45685355820 is an abundant number, since it is smaller than the sum of its proper divisors (92288006868).

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

45685355820 is a wasteful number, since it uses less digits than its factorization.

45685355820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91199 (or 91197 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 45685355820 in words is "forty-five billion, six hundred eighty-five million, three hundred fifty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 647 780 1294 1941 2588 3235 3882 6470 7764 8411 9705 12940 16822 19410 25233 33644 38820 42055 50466 84110 90527 100932 126165 168220 181054 252330 271581 362108 452635 504660 543162 905270 1086324 1176851 1357905 1810540 2353702 2715810 3530553 4707404 5431620 5884255 7061106 11768510 14122212 17652765 23537020 35305530 58570969 70611060 117141938 175712907 234283876 292854845 351425814 585709690 702851628 761422597 878564535 1171419380 1522845194 1757129070 2284267791 3045690388 3514258140 3807112985 4568535582 7614225970 9137071164 11421338955 15228451940 22842677910 45685355820