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127713221474272 = 25729129115228727
BaseRepresentation
bin11101000010011110001101…
…001100101111011111100000
3121202012021010222202220002221
4131002132031030233133200
5113214423134144134042
61131342351033520424
735620655454022210
oct3502361514573740
9552167128686087
10127713221474272
1137769967055495
12123a7817573114
1356353c7429695
1423774d2508240
15eb71a9a0ad67
hex74278d32f7e0

127713221474272 has 96 divisors (see below), whose sum is σ = 297493810629120. Its totient is φ = 52805911979520.

The previous prime is 127713221474269. The next prime is 127713221474287. The reversal of 127713221474272 is 272474122317721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771973 + ... + 16000699.

It is an arithmetic number, because the mean of its divisors is an integer number (3098893860720).

Almost surely, 2127713221474272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127713221474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148746905314560).

127713221474272 is an abundant number, since it is smaller than the sum of its proper divisors (169780589154848).

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

127713221474272 is a wasteful number, since it uses less digits than its factorization.

127713221474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230064 (or 15230056 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 52.

The spelling of 127713221474272 in words is "one hundred twenty-seven trillion, seven hundred thirteen billion, two hundred twenty-one million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1291 1624 2582 3248 5164 6496 9037 10328 18074 20656 36148 37439 41312 72296 74878 144592 149756 262073 289184 299512 524146 599024 1048292 1198048 2096584 4193168 8386336 15228727 30457454 60914908 106601089 121829816 213202178 243659632 426404356 441633083 487319264 852808712 883266166 1705617424 1766532332 3091431581 3411234848 3533064664 6182863162 7066129328 12365726324 14132258656 19660286557 24731452648 39320573114 49462905296 78641146228 98925810592 137622005899 157282292456 275244011798 314564584912 550488023596 570148310153 629129169824 1100976047192 1140296620306 2201952094384 2280593240612 3991038171071 4403904188768 4561186481224 7982076342142 9122372962448 15964152684284 18244745924896 31928305368568 63856610737136 127713221474272