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150526235340 = 223251371778963
BaseRepresentation
bin1000110000110000010…
…0000001001011001100
3112101112102200001001100
42030030010001023030
54431234204012330
6153052323343100
713606115614035
oct2141404011314
9471472601040
10150526235340
1158924154598
122520ab21a90
131126b5bbb10
1473dd615a8c
153daedcb060
hex230c1012cc

150526235340 has 144 divisors (see below), whose sum is σ = 491842417248. Its totient is φ = 37043315712.

The previous prime is 150526235339. The next prime is 150526235369. The reversal of 150526235340 is 43532625051.

150526235340 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 262 + 353 + 40 = 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 = 150526235295 and 150526235304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16789699 + ... + 16798661.

It is an arithmetic number, because the mean of its divisors is an integer number (3415572342).

Almost surely, 2150526235340 is an apocalyptic number.

150526235340 is a gapful number since it is divisible by the number (10) 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 150526235340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245921208624).

150526235340 is an abundant number, since it is smaller than the sum of its proper divisors (341316181908).

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

150526235340 is a wasteful number, since it uses less digits than its factorization.

150526235340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16163 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 150526235340 in words is "one hundred fifty billion, five hundred twenty-six million, two hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7177 8963 14354 17926 21531 26889 28708 35852 35885 43062 44815 53778 64593 71770 80667 86124 89630 93301 107556 107655 116519 129186 134445 143540 161334 179260 186602 215310 233038 258372 268890 279903 322668 322965 349557 373204 403335 430620 466076 466505 537780 559806 582595 645930 699114 806670 839709 933010 1048671 1119612 1165190 1291860 1398228 1399515 1613340 1679418 1747785 1866020 2097342 2330380 2799030 3358836 3495570 4194684 4198545 5243355 5598060 6991140 8397090 10486710 16794180 20973420 64327451 128654902 192982353 257309804 321637255 385964706 578947059 643274510 771929412 836256863 964911765 1157894118 1286549020 1672513726 1929823530 2315788236 2508770589 2894735295 3345027452 3859647060 4181284315 5017541178 5789470590 7526311767 8362568630 10035082356 11578941180 12543852945 15052623534 16725137260 25087705890 30105247068 37631558835 50175411780 75263117670 150526235340