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146724455020 = 225111371210177
BaseRepresentation
bin1000100010100101110…
…1011000001001101100
3112000201110221120212211
42020221131120021230
54400442430030040
6151223154140204
713412653201303
oct2105135301154
9460643846784
10146724455020
1157253147790
1224529881664
1310ab3a80270
14715c73d43a
153c3b25c8ea
hex222975826c

146724455020 has 144 divisors (see below), whose sum is σ = 367195044384. Its totient is φ = 48551731200.

The previous prime is 146724454907. The next prime is 146724455063. The reversal of 146724455020 is 20554427641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14412172 + ... + 14422348.

It is an arithmetic number, because the mean of its divisors is an integer number (2549965586).

Almost surely, 2146724455020 is an apocalyptic number.

146724455020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146724455020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183597522192).

146724455020 is an abundant number, since it is smaller than the sum of its proper divisors (220470589364).

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

146724455020 is a wasteful number, since it uses less digits than its factorization.

146724455020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 146724455020 in words is "one hundred forty-six billion, seven hundred twenty-four million, four hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 130 142 143 220 260 284 286 355 572 710 715 781 923 1420 1430 1562 1846 2860 3124 3692 3905 4615 5041 7810 9230 10082 10153 10177 15620 18460 20164 20306 20354 25205 40612 40708 50410 50765 50885 55451 65533 100820 101530 101770 110902 111947 131066 132301 203060 203540 221804 223894 262132 264602 277255 327665 447788 529204 554510 559735 655330 661505 720863 722567 1109020 1119470 1310660 1323010 1441726 1445134 1455311 2238940 2646020 2883452 2890268 2910622 3604315 3612835 5821244 7208630 7225670 7276555 7948237 9393371 14417260 14451340 14553110 15896474 18786742 29106220 31792948 37573484 39741185 46966855 51302257 79482370 93933710 102604514 103327081 158964740 187867420 205209028 206654162 256511285 413308324 513022570 516635405 564324827 666929341 1026045140 1033270810 1128649654 1333858682 2066541620 2257299308 2667717364 2821624135 3334646705 5643248270 6669293410 7336222751 11286496540 13338586820 14672445502 29344891004 36681113755 73362227510 146724455020