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4153132500 = 223541150341
BaseRepresentation
bin1111011110001011…
…1100010111010100
3101201102211222202020
43313202330113110
532001200220000
61524040013140
7204630021006
oct36742742724
911642758666
104153132500
111841375a10
1297aa611b0
1351257936a
142b5816376
15194922ba0
hexf78bc5d4

4153132500 has 120 divisors (see below), whose sum is σ = 13210546272. Its totient is φ = 1006800000.

The previous prime is 4153132493. The next prime is 4153132513. The reversal of 4153132500 is 52313514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57330 + ... + 107670.

Almost surely, 24153132500 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 4153132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605273136).

4153132500 is an abundant number, since it is smaller than the sum of its proper divisors (9057413772).

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

4153132500 is a wasteful number, since it uses less digits than its factorization.

4153132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50379 (or 50362 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4153132500 is about 64444.8019626098. The cubic root of 4153132500 is about 1607.4048052745.

The spelling of 4153132500 in words is "four billion, one hundred fifty-three million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 625 660 750 825 1100 1250 1375 1500 1650 1875 2500 2750 3300 3750 4125 5500 6875 7500 8250 13750 16500 20625 27500 41250 50341 82500 100682 151023 201364 251705 302046 503410 553751 604092 755115 1006820 1107502 1258525 1510230 1661253 2215004 2517050 2768755 3020460 3322506 3775575 5034100 5537510 6292625 6645012 7551150 8306265 11075020 12585250 13843775 15102300 16612530 18877875 25170500 27687550 31463125 33225060 37755750 41531325 55375100 62926250 69218875 75511500 83062650 94389375 125852500 138437750 166125300 188778750 207656625 276875500 346094375 377557500 415313250 692188750 830626500 1038283125 1384377500 2076566250 4153132500