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68348129301 = 3289307499557
BaseRepresentation
bin111111101001110111…
…011011000000010101
320112102022001201021100
4333221313123000111
52104434110114201
651222041340313
74636505341044
oct775167330025
9215368051240
1068348129301
1126a93812181
12112b5797699
1365a314cb7a
14344549c55b
151ba05b7886
hexfe9ddb015

68348129301 has 48 divisors (see below), whose sum is σ = 100540440000. Its totient is φ = 44736240384.

The previous prime is 68348129293. The next prime is 68348129309. The reversal of 68348129301 is 10392184386.

68348129301 is a `hidden beast` number, since 6 + 83 + 481 + 2 + 93 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (68348129293) and next prime (68348129309).

It is not a de Polignac number, because 68348129301 - 23 = 68348129293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68348129309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122707315 + ... + 122707871.

It is an arithmetic number, because the mean of its divisors is an integer number (2094592500).

Almost surely, 268348129301 is an apocalyptic number.

It is an amenable number.

68348129301 is a deficient number, since it is larger than the sum of its proper divisors (32192310699).

68348129301 is a wasteful number, since it uses less digits than its factorization.

68348129301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 68348129301 in words is "sixty-eight billion, three hundred forty-eight million, one hundred twenty-nine thousand, three hundred one".

Divisors: 1 3 9 89 267 307 499 557 801 921 1497 1671 2763 4491 5013 27323 44411 49573 81969 133233 148719 153193 170999 245907 277943 399699 446157 459579 512997 833829 1378737 1538991 2501487 13634177 15218911 24736927 40902531 45656733 74210781 85328501 122707593 136970199 222632343 255985503 767956509 7594236589 22782709767 68348129301