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40067766710007 = 34783197148311719
BaseRepresentation
bin10010001110001000000010…
…00000000110111011110111
312020212102220112221120020220
421013010001000012323313
520222432241234210012
6221114513344025423
711303541416423601
oct1107040100067367
9166772815846226
1040067766710007
111184870a81a333
1245b149a002273
1319484b312613a
149c740c66a171
154973c423708c
hex247101006ef7

40067766710007 has 64 divisors (see below), whose sum is σ = 55540171653120. Its totient is φ = 25677896759424.

The previous prime is 40067766709967. The next prime is 40067766710039. The reversal of 40067766710007 is 70001766776004.

It is a de Polignac number, because none of the positive numbers 2k-40067766710007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40067766710087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3419037294 + ... + 3419049012.

It is an arithmetic number, because the mean of its divisors is an integer number (867815182080).

Almost surely, 240067766710007 is an apocalyptic number.

40067766710007 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

40067766710007 is a deficient number, since it is larger than the sum of its proper divisors (15472404943113).

40067766710007 is a wasteful number, since it uses less digits than its factorization.

40067766710007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532.

The product of its (nonzero) digits is 2074464, while the sum is 51.

The spelling of 40067766710007 in words is "forty trillion, sixty-seven billion, seven hundred sixty-six million, seven hundred ten thousand, seven".

Divisors: 1 3 47 83 141 197 249 591 1483 3901 4449 9259 11703 11719 16351 27777 35157 49053 69701 123089 209103 292151 369267 550793 768497 876453 972677 1652379 2305491 2308643 2918031 5785183 6925929 13731097 17355549 17379277 24248533 41193291 45715819 52137831 72745599 108506221 137147457 191617369 325518663 574852107 816826019 1139681051 1442479991 2450478057 3419043153 3423717569 4327439973 9006016343 10271152707 27018049029 67796559577 160914725743 203389678731 284168558227 482744177229 852505674681 13355922236669 40067766710007