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101395439964 = 223271331998419
BaseRepresentation
bin101111001101110100…
…0111010000101011100
3100200201102102001000100
41132123220322011130
53130124213034324
6114325212101100
710216450006410
oct1363350720534
9320642361010
10101395439964
113a00209a875
1217799164790
13973b952770
144c9c506d40
1529869cd4c9
hex179ba3a15c

101395439964 has 144 divisors (see below), whose sum is σ = 325628692480. Its totient is φ = 25878994560.

The previous prime is 101395439927. The next prime is 101395439987. The reversal of 101395439964 is 469934593101.

It is a happy number.

101395439964 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 543 + 9 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101395439964.

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, 397654 + ... + 600765.

Almost surely, 2101395439964 is an apocalyptic number.

101395439964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101395439964 is an abundant number, since it is smaller than the sum of its proper divisors (224233252516).

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

101395439964 is a wasteful number, since it uses less digits than its factorization.

101395439964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998480 (or 998475 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 101395439964 in words is "one hundred one billion, three hundred ninety-five million, four hundred thirty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 101556 998419 1996838 2995257 3993676 5990514 6988933 8985771 11981028 12979447 13977866 17971542 20966799 25958894 27955732 30950989 35943084 38938341 41933598 51917788 61901978 62900397 77876682 83867196 90856129 92852967 116815023 123803956 125800794 155753364 181712258 185705934 216656923 233630046 251601588 272568387 278558901 363424516 371411868 402362857 433313846 467260092 545136774 557117802 649970769 804725714 817705161 866627692 1090273548 1114235604 1207088571 1299941538 1609451428 1635410322 1949912307 2414177142 2599883076 2816539999 3270820644 3621265713 3899824614 4828354284 5633079998 7242531426 7799649228 8449619997 11266159996 14485062852 16899239994 25348859991 33798479988 50697719982 101395439964