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1451148213864 = 2334711807108959
BaseRepresentation
bin10101000111011111001…
…011000111111001101000
312010201200000101021102010
4111013133023013321220
5142233422420320424
63030352010235520
7206561543204046
oct25073713077150
95121600337363
101451148213864
1150a479376418
121b52aa725ba0
13a6ac550898b
1450343629396
1527b33711229
hex151df2c7e68

1451148213864 has 64 divisors (see below), whose sum is σ = 3705407078400. Its totient is φ = 473379798464.

The previous prime is 1451148213859. The next prime is 1451148213923. The reversal of 1451148213864 is 4683128411541.

It is a super-2 number, since 2×14511482138642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13263817 + ... + 13372775.

It is an arithmetic number, because the mean of its divisors is an integer number (57896985600).

Almost surely, 21451148213864 is an apocalyptic number.

It is an amenable number.

1451148213864 is an abundant number, since it is smaller than the sum of its proper divisors (2254258864536).

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

1451148213864 is a wasteful number, since it uses less digits than its factorization.

1451148213864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120822 (or 120818 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 1451148213864 in words is "one trillion, four hundred fifty-one billion, one hundred forty-eight million, two hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 11807 23614 35421 47228 70842 94456 108959 141684 217918 283368 326877 435836 554929 653754 871672 1109858 1307508 1664787 2219716 2615016 3329574 4439432 5121073 6659148 10242146 13318296 15363219 20484292 30726438 40968584 61452876 122905752 1286478913 2572957826 3859436739 5145915652 7718873478 10291831304 15437746956 30875493912 60464508911 120929017822 181393526733 241858035644 362787053466 483716071288 725574106932 1451148213864