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138332246507 = 713217191632221
BaseRepresentation
bin1000000011010100111…
…1101001000111101011
3111020001121112020001022
42000311033221013223
54231301023342012
6143314324043055
712665000460140
oct2006517510753
9436047466038
10138332246507
1153736a46274
122298723348b
13100771c6100
1469a3d3c3c7
1538e95dc472
hex20353e91eb

138332246507 has 96 divisors (see below), whose sum is σ = 192057592320. Its totient is φ = 96947435520.

The previous prime is 138332246501. The next prime is 138332246509. The reversal of 138332246507 is 705642233831.

It is a happy number.

138332246507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138332246507 - 24 = 138332246491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138332246501) 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 95 ways as a sum of consecutive naturals, for example, 62282657 + ... + 62284877.

It is an arithmetic number, because the mean of its divisors is an integer number (2000599920).

Almost surely, 2138332246507 is an apocalyptic number.

138332246507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

138332246507 is a deficient number, since it is larger than the sum of its proper divisors (53725345813).

138332246507 is a wasteful number, since it uses less digits than its factorization.

138332246507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 138332246507 in words is "one hundred thirty-eight billion, three hundred thirty-two million, two hundred forty-six thousand, five hundred seven".

Divisors: 1 7 13 17 19 91 119 133 163 169 221 247 323 1141 1183 1547 1729 2119 2221 2261 2771 2873 3097 3211 4199 14833 15547 19397 20111 21679 22477 27547 28873 29393 36023 37757 40261 42199 52649 54587 192829 202111 252161 264299 281827 295393 362023 368543 375349 382109 468299 490841 523393 548587 684437 717383 2534161 2627443 3278093 3435887 3663751 3840109 4706299 4791059 5021681 6154391 6380933 6878437 7131631 8897681 9325979 32944093 43080737 44666531 48149059 49921417 61181887 62283767 65281853 80007083 89419681 116933429 121237727 428273209 560049581 625937767 818534003 848664089 1040092079 1162455853 1520134577 7280644553 8137190971 10640942039 19761749501 138332246507