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5046149340 = 223458337529
BaseRepresentation
bin1001011001100011…
…00010000011011100
3111000200012221120000
410230301202003130
540313303234330
62152420254300
7236022363441
oct45461420334
914020187500
105046149340
11215a468761
12b89b41390
136255993ab
1435c2759c8
151e8020560
hex12cc620dc

5046149340 has 120 divisors (see below), whose sum is σ = 16021106640. Its totient is φ = 1329391872.

The previous prime is 5046149249. The next prime is 5046149351. The reversal of 5046149340 is 439416405.

5046149340 is a `hidden beast` number, since 5 + 0 + 4 + 614 + 9 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5046149295 and 5046149304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115696 + ... + 153224.

It is an arithmetic number, because the mean of its divisors is an integer number (133509222).

Almost surely, 25046149340 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 5046149340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010553320).

5046149340 is an abundant number, since it is smaller than the sum of its proper divisors (10974957300).

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

5046149340 is a wasteful number, since it uses less digits than its factorization.

5046149340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37633 (or 37622 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5046149340 is about 71036.2537018951. The cubic root of 5046149340 is about 1715.2207939629.

The spelling of 5046149340 in words is "five billion, forty-six million, one hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 6723 7470 8964 11205 13446 14940 22410 26892 33615 37529 44820 67230 75058 112587 134460 150116 187645 225174 337761 375290 450348 562935 675522 750580 1013283 1125870 1351044 1688805 2026566 2251740 3039849 3114907 3377610 4053132 5066415 6079698 6229814 6755220 9344721 10132830 12159396 12459628 15199245 15574535 18689442 20265660 28034163 30398490 31149070 37378884 46723605 56068326 60796980 62298140 84102489 93447210 112136652 140170815 168204978 186894420 252307467 280341630 336409956 420512445 504614934 560683260 841024890 1009229868 1261537335 1682049780 2523074670 5046149340