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13130367696 = 24321923208657
BaseRepresentation
bin11000011101010000…
…11000001011010000
31020220002002210022200
430032220120023100
5203342333231241
610010525203200
7643245166245
oct141650301320
936802083280
1013130367696
115628828656
122665400500
1313133b8954
148c7bc35cc
1551cb044b6
hex30ea182d0

13130367696 has 120 divisors (see below), whose sum is σ = 40362803520. Its totient is φ = 3966133248.

The previous prime is 13130367661. The next prime is 13130367751. The reversal of 13130367696 is 69676303131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41401 + ... + 167256.

It is an arithmetic number, because the mean of its divisors is an integer number (336356696).

Almost surely, 213130367696 is an apocalyptic number.

13130367696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13130367696 is an abundant number, since it is smaller than the sum of its proper divisors (27232435824).

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

13130367696 is a wasteful number, since it uses less digits than its factorization.

13130367696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208713 (or 208704 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13130367696 in words is "thirteen billion, one hundred thirty million, three hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1748 2622 2736 3312 3496 3933 5244 6992 7866 10488 15732 20976 31464 62928 208657 417314 625971 834628 1251942 1669256 1877913 2503884 3338512 3755826 3964483 4799111 5007768 7511652 7928966 9598222 10015536 11893449 14397333 15023304 15857932 19196444 23786898 28794666 30046608 31715864 35680347 38392888 43191999 47573796 57589332 63431728 71360694 76785776 86383998 91183109 95147592 115178664 142721388 172767996 182366218 190295184 230357328 273549327 285442776 345535992 364732436 547098654 570885552 691071984 729464872 820647981 1094197308 1458929744 1641295962 2188394616 3282591924 4376789232 6565183848 13130367696