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628860046360 = 2357131607107507
BaseRepresentation
bin10010010011010101111…
…10101100110000011000
32020010012100010022110011
421021222332230300120
540300401132440420
61200521101131304
763301511124610
oct11115276546030
92203170108404
10628860046360
11222775113587
12a1a63b59b34
13473bbac3210
142261914da40
151155886c95a
hex926afacc18

628860046360 has 128 divisors (see below), whose sum is σ = 1742558469120. Its totient is φ = 198898140672.

The previous prime is 628860046349. The next prime is 628860046369. The reversal of 628860046360 is 63640068826.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628860046369) by changing a digit.

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, 5795727 + ... + 5903233.

It is an arithmetic number, because the mean of its divisors is an integer number (13613738040).

Almost surely, 2628860046360 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 628860046360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871279234560).

628860046360 is an abundant number, since it is smaller than the sum of its proper divisors (1113698422760).

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

628860046360 is a wasteful number, since it uses less digits than its factorization.

628860046360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109145 (or 109141 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 628860046360 in words is "six hundred twenty-eight billion, eight hundred sixty million, forty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1607 1820 3214 3640 6428 8035 11249 12856 16070 20891 22498 32140 41782 44996 56245 64280 83564 89992 104455 107507 112490 146237 167128 208910 215014 224980 292474 417820 430028 449960 537535 584948 731185 752549 835640 860056 1075070 1169896 1397591 1462370 1505098 2150140 2795182 2924740 3010196 3762745 4300280 5590364 5849480 6020392 6987955 7525490 9783137 11180728 13975910 15050980 19566274 27951820 30101960 39132548 48915685 55903640 78265096 97831370 172763749 195662740 345527498 391325480 691054996 863818745 1209346243 1382109992 1727637490 2245928737 2418692486 3455274980 4491857474 4837384972 6046731215 6910549960 8983714948 9674769944 11229643685 12093462430 15721501159 17967429896 22459287370 24186924860 31443002318 44918574740 48373849720 62886004636 78607505795 89837149480 125772009272 157215011590 314430023180 628860046360