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34535255550 = 23522371140989
BaseRepresentation
bin100000001010011101…
…100010110111111110
310022010211011202101220
4200022131202313332
51031212011134200
623510522214210
72331546554145
oct401235426776
9108124152356
1034535255550
1113712284714
126839954366
133344b63a73
1419588d075c
15d71d7d4a0
hex80a762dfe

34535255550 has 96 divisors (see below), whose sum is σ = 90630627840. Its totient is φ = 8684860800.

The previous prime is 34535255539. The next prime is 34535255561. The reversal of 34535255550 is 5555253543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34535255539) and next prime (34535255561).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 174456 + ... + 315444.

It is an arithmetic number, because the mean of its divisors is an integer number (944069040).

Almost surely, 234535255550 is an apocalyptic number.

34535255550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34535255550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45315313920).

34535255550 is an abundant number, since it is smaller than the sum of its proper divisors (56095372290).

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

34535255550 is a wasteful number, since it uses less digits than its factorization.

34535255550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141098 (or 141093 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 42.

The spelling of 34535255550 in words is "thirty-four billion, five hundred thirty-five million, two hundred fifty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 71 75 115 138 142 150 213 230 345 355 426 575 690 710 1065 1150 1633 1725 1775 2130 3266 3450 3550 4899 5325 8165 9798 10650 16330 24495 40825 48990 81650 122475 140989 244950 281978 422967 704945 845934 1409890 2114835 3242747 3524725 4229670 6485494 7049450 9728241 10010219 10574175 16213735 19456482 20020438 21148350 30030657 32427470 48641205 50051095 60061314 81068675 97282410 100102190 150153285 162137350 230235037 243206025 250255475 300306570 460470074 486412050 500510950 690705111 750766425 1151175185 1381410222 1501532850 2302350370 3453525555 5755875925 6907051110 11511751850 17267627775 34535255550