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15275513445136 = 2471493115775101
BaseRepresentation
bin1101111001001001101110…
…0011010111101100010000
32000002022202210111112111021
43132102123203113230100
54000233222420221021
652253250214525224
73134422314633250
oct336223343275420
960068683445437
1015275513445136
11495a34412077a
1218685b6666814
1386a622cc6969
143ab4a5925960
151b7540272c41
hexde49b8d7b10

15275513445136 has 160 divisors (see below), whose sum is σ = 34226762918400. Its totient is φ = 6469300224000.

The previous prime is 15275513445119. The next prime is 15275513445149. The reversal of 15275513445136 is 63154431557251.

It is a super-2 number, since 2×152755134451362 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 2994608986 + ... + 2994614086.

It is an arithmetic number, because the mean of its divisors is an integer number (213917268240).

Almost surely, 215275513445136 is an apocalyptic number.

15275513445136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15275513445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113381459200).

15275513445136 is an abundant number, since it is smaller than the sum of its proper divisors (18951249473264).

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

15275513445136 is a wasteful number, since it uses less digits than its factorization.

15275513445136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6147 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 52.

The spelling of 15275513445136 in words is "fifteen trillion, two hundred seventy-five billion, five hundred thirteen million, four hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 311 577 596 622 1043 1154 1192 1244 2086 2177 2308 2384 2488 4039 4172 4354 4616 4976 5101 8078 8344 8708 9232 10202 16156 16688 17416 20404 32312 34832 35707 40808 46339 64624 71414 81616 85973 92678 142828 171946 179447 185356 285656 324373 343892 358894 370712 571312 601811 648746 687784 717788 741424 760049 1203622 1256129 1297492 1375568 1435576 1520098 1586411 2407244 2512258 2594984 2871152 2943277 3040196 3172822 4814488 5024516 5189968 5320343 5886554 6080392 6345644 9628976 10049032 10640686 11104877 11773108 12160784 12691288 20098064 20602939 21281372 22209754 23546216 25382576 26737603 41205878 42562744 44419508 47092432 53475206 82411756 85125488 88839016 106950412 164823512 177678032 187163221 213900824 236375239 329647024 374326442 427801648 438548273 472750478 748652884 877096546 915359147 945500956 1497305768 1654626673 1754193092 1830718294 1891001912 2994611536 3069837911 3309253346 3508386184 3661436588 3782003824 6139675822 6407514029 6618506692 7016772368 7322873176 12279351644 12815028058 13237013384 14645746352 24558703288 25630056116 26474026768 49117406576 51260112232 102520224464 136388512903 272777025806 545554051612 954719590321 1091108103224 1909439180642 2182216206448 3818878361284 7637756722568 15275513445136