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353369291420 = 225292412838933
BaseRepresentation
bin1010010010001100111…
…00110111101010011100
31020210002220122221022002
411021012130313222130
521242200014311140
6430200254141432
734346551263215
oct5110634675234
91223086587262
10353369291420
11126954830912
125859a7b1878
1327426931aa2
141316312840c
1592d2c42415
hex5246737a9c

353369291420 has 96 divisors (see below), whose sum is σ = 773660099520. Its totient is φ = 135411978240.

The previous prime is 353369291389. The next prime is 353369291477. The reversal of 353369291420 is 24192963353.

It is a super-2 number, since 2×3533692914202 (a number of 24 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 31 ways as a sum of consecutive naturals, for example, 39553274 + ... + 39562206.

It is an arithmetic number, because the mean of its divisors is an integer number (8058959370).

Almost surely, 2353369291420 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 353369291420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386830049760).

353369291420 is an abundant number, since it is smaller than the sum of its proper divisors (420290808100).

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

353369291420 is a wasteful number, since it uses less digits than its factorization.

353369291420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 47.

The spelling of 353369291420 in words is "three hundred fifty-three billion, three hundred sixty-nine million, two hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 241 283 290 482 566 580 964 1132 1205 1415 2410 2830 4820 5660 6989 8207 8933 13978 16414 17866 27956 32828 34945 35732 41035 44665 68203 69890 82070 89330 136406 139780 164140 178660 259057 272812 341015 518114 682030 1036228 1295285 1364060 1977887 2152853 2528039 2590570 3955774 4305706 5056078 5181140 7911548 8611412 9889435 10112156 10764265 12640195 19778870 21528530 25280390 39557740 43057060 50560780 62432737 73313131 124865474 146626262 249730948 293252524 312163685 366565655 609257399 624327370 733131310 1218514798 1248654740 1466262620 2437029596 3046286995 6092573990 12185147980 17668464571 35336929142 70673858284 88342322855 176684645710 353369291420