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80202023424 = 29336179403
BaseRepresentation
bin100101010110001101…
…0011100001000000000
321200000102020221001000
41022230122130020000
52303223204222144
6100502211412000
75536323644115
oct1125432341000
9250012227030
1080202023424
1131016a51296
12136635b4000
137741c4a0c3
143c4b92690c
1521460c7769
hex12ac69c200

80202023424 has 160 divisors (see below), whose sum is σ = 237813618240. Its totient is φ = 26687840256.

The previous prime is 80202023423. The next prime is 80202023441. The reversal of 80202023424 is 42432020208.

It is a super-2 number, since 2×802020234242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80202023423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8524707 + ... + 8534109.

It is an arithmetic number, because the mean of its divisors is an integer number (1486335114).

Almost surely, 280202023424 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 80202023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118906809120).

80202023424 is an abundant number, since it is smaller than the sum of its proper divisors (157611594816).

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

80202023424 is an equidigital number, since it uses as much as digits as its factorization.

80202023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 80202023424 in words is "eighty billion, two hundred two million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 617 768 864 1152 1234 1536 1728 1851 2304 2468 3456 3702 4608 4936 5553 6912 7404 9403 9872 11106 13824 14808 16659 18806 19744 22212 28209 29616 33318 37612 39488 44424 56418 59232 66636 75224 78976 84627 88848 112836 118464 133272 150448 157952 169254 177696 225672 236928 253881 266544 300896 315904 338508 355392 451344 473856 507762 533088 601792 677016 710784 902688 947712 1015524 1066176 1203584 1354032 1421568 1805376 2031048 2132352 2407168 2708064 2843136 3610752 4062096 4264704 4814336 5416128 5801651 7221504 8124192 8529408 10832256 11603302 14443008 16248384 17404953 21664512 23206604 32496768 34809906 43329024 46413208 52214859 64993536 69619812 92826416 104429718 129987072 139239624 156644577 185652832 208859436 278479248 313289154 371305664 417718872 556958496 626578308 742611328 835437744 1113916992 1253156616 1485222656 1670875488 2227833984 2506313232 2970445312 3341750976 4455667968 5012626464 6683501952 8911335936 10025252928 13367003904 20050505856 26734007808 40101011712 80202023424