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46127792868416 = 2673115721155501
BaseRepresentation
bin10100111110011111101101…
…01101010100110001000000
320001022202220012021220111022
422133033312231110301000
522021224204433242131
6242034452052005012
712500423465031260
oct1237176655246100
9201282805256438
1046127792868416
1113774761585a66
12520ba60600768
131c97aa847165c
14b5685059b7a0
1554ed52d8d37b
hex29f3f6b54c40

46127792868416 has 112 divisors (see below), whose sum is σ = 108673613601792. Its totient is φ = 19009486080000.

The previous prime is 46127792868401. The next prime is 46127792868439. The reversal of 46127792868416 is 61486829772164.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×461277928684162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46127792868416.

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, 8397335 + ... + 12758166.

Almost surely, 246127792868416 is an apocalyptic number.

It is an amenable number.

46127792868416 is an abundant number, since it is smaller than the sum of its proper divisors (62545820733376).

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

46127792868416 is a wasteful number, since it uses less digits than its factorization.

46127792868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21155708 (or 21155698 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 71.

The spelling of 46127792868416 in words is "forty-six trillion, one hundred twenty-seven billion, seven hundred ninety-two million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 157 217 224 248 314 434 448 496 628 868 992 1099 1256 1736 1984 2198 2512 3472 4396 4867 5024 6944 8792 9734 10048 13888 17584 19468 34069 35168 38936 68138 70336 77872 136276 155744 272552 311488 545104 1090208 2180416 21155501 42311002 84622004 148088507 169244008 296177014 338488016 592354028 655820531 676976032 1184708056 1311641062 1353952064 2369416112 2623282124 3321413657 4590743717 4738832224 5246564248 6642827314 9181487434 9477664448 10493128496 13285654628 18362974868 20986256992 23249895599 26571309256 36725949736 41972513984 46499791198 53142618512 73451899472 92999582396 102963823367 106285237024 146903798944 185999164792 205927646734 212570474048 293807597888 371998329584 411855293468 720746763569 743996659168 823710586936 1441493527138 1487993318336 1647421173872 2882987054276 3294842347744 5765974108552 6589684695488 11531948217104 23063896434208 46127792868416