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80623417400 = 23523159220403
BaseRepresentation
bin100101100010110000…
…1111011100000111000
321201002210011221220022
41023011201323200320
52310104043324100
6101012103350012
75552631512021
oct1130541734070
9251083157808
1080623417400
11312128a9879
1213760752308
1377ab33c456
143c8b899c48
15216d0b4e85
hex12c587b838

80623417400 has 96 divisors (see below), whose sum is σ = 196776691200. Its totient is φ = 30679958400.

The previous prime is 80623417367. The next prime is 80623417423. The reversal of 80623417400 is 471432608.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 255599 + ... + 476001.

It is an arithmetic number, because the mean of its divisors is an integer number (2049757200).

Almost surely, 280623417400 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 80623417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98388345600).

80623417400 is an abundant number, since it is smaller than the sum of its proper divisors (116153273800).

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

80623417400 is a wasteful number, since it uses less digits than its factorization.

80623417400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220509 (or 220500 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 80623417400 in words is "eighty billion, six hundred twenty-three million, four hundred seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 59 62 100 118 124 155 200 236 248 295 310 472 590 620 775 1180 1240 1475 1550 1829 2360 2950 3100 3658 5900 6200 7316 9145 11800 14632 18290 36580 45725 73160 91450 182900 220403 365800 440806 881612 1102015 1763224 2204030 4408060 5510075 6832493 8816120 11020150 13003777 13664986 22040300 26007554 27329972 34162465 44080600 52015108 54659944 65018885 68324930 104030216 130037770 136649860 170812325 260075540 273299720 325094425 341624650 403117087 520151080 650188850 683249300 806234174 1300377700 1366498600 1612468348 2015585435 2600755400 3224936696 4031170870 8062341740 10077927175 16124683480 20155854350 40311708700 80623417400