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67104057100 = 225223591034801
BaseRepresentation
bin111110011111101101…
…101010011100001100
320102012121010022001011
4332133231222130030
52044412114311400
650454400455004
74563621034303
oct763755523414
9212177108034
1067104057100
1126505544333
121100901a464
136435497482
14336817943a
151b2b2738ba
hexf9fb6a70c

67104057100 has 144 divisors (see below), whose sum is σ = 156055011840. Its totient is φ = 24989184000.

The previous prime is 67104057089. The next prime is 67104057113. The reversal of 67104057100 is 175040176.

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, 13974700 + ... + 13979500.

It is an arithmetic number, because the mean of its divisors is an integer number (1083715360).

Almost surely, 267104057100 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 67104057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78027505920).

67104057100 is an abundant number, since it is smaller than the sum of its proper divisors (88950954740).

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

67104057100 is a wasteful number, since it uses less digits than its factorization.

67104057100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

Adding to 67104057100 its reverse (175040176), we get a palindrome (67279097276).

The spelling of 67104057100 in words is "sixty-seven billion, one hundred four million, fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 103 115 118 206 230 236 295 412 460 515 575 590 1030 1150 1180 1357 1475 2060 2300 2369 2575 2714 2950 4738 4801 5150 5428 5900 6077 6785 9476 9602 10300 11845 12154 13570 19204 23690 24005 24308 27140 30385 33925 47380 48010 59225 60770 67850 96020 110423 118450 120025 121540 135700 139771 151925 220846 236900 240050 279542 283259 303850 441692 480100 494503 552115 559084 566518 607700 698855 989006 1104230 1133036 1397710 1416295 1978012 2208460 2472515 2760575 2795420 2832590 3494275 4945030 5521150 5665180 6514957 6988550 7081475 9890060 11042300 11373569 12362575 13029914 13977100 14162950 22747138 24725150 26059828 28325900 29175677 32574785 45494276 49450300 56867845 58351354 65149570 113735690 116702708 130299140 145878385 162873925 227471380 284339225 291756770 325747850 568678450 583513540 651495700 671040571 729391925 1137356900 1342081142 1458783850 2684162284 2917567700 3355202855 6710405710 13420811420 16776014275 33552028550 67104057100