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67404000006 = 23279715136523
BaseRepresentation
bin111110110001100101…
…110110101100000110
320102222111111222100200
4332301211312230012
52101020411000011
650544233351330
74604222355360
oct766145665406
9212874458320
1067404000006
1126649889932
1211091568546
136482675295
143395d35d30
151b47770856
hexfb1976b06

67404000006 has 96 divisors (see below), whose sum is σ = 169747189248. Its totient is φ = 18933004800.

The previous prime is 67403999977. The next prime is 67404000101. The reversal of 67404000006 is 60000040476.

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, 1827261 + ... + 1863783.

It is an arithmetic number, because the mean of its divisors is an integer number (1768199888).

Almost surely, 267404000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67404000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84873594624).

67404000006 is an abundant number, since it is smaller than the sum of its proper divisors (102343189242).

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

67404000006 is a wasteful number, since it uses less digits than its factorization.

67404000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36786 (or 36783 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 67404000006 in words is "sixty-seven billion, four hundred four million, six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 151 194 291 302 453 582 679 873 906 1057 1358 1359 1746 2037 2114 2718 3171 4074 6111 6342 9513 12222 14647 19026 29294 36523 43941 73046 87882 102529 109569 131823 205058 219138 255661 263646 307587 328707 511322 615174 657414 766983 922761 1533966 1845522 2300949 3542731 4601898 5514973 7085462 10628193 11029946 16544919 21256386 24799117 31884579 33089838 38604811 49598234 49634757 63769158 74397351 77209622 99269514 115814433 148794702 223192053 231628866 347443299 446384106 534952381 694886598 1069904762 1604857143 3209714286 3744666667 4814571429 7489333334 9629142858 11234000001 22468000002 33702000003 67404000006