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150333203472 = 243172946313721
BaseRepresentation
bin1000110000000010001…
…1101010010000010000
3112101000222110000002220
42030000203222100100
54430340300002342
6153021230141040
713601253100644
oct2140043522020
9471028400086
10150333203472
11588351a0921
1225176351780
131123a60438a
1473c1b28c24
153d9ce9b5ec
hex23008ea410

150333203472 has 160 divisors (see below), whose sum is σ = 426334855680. Its totient is φ = 45435371520.

The previous prime is 150333203453. The next prime is 150333203477. The reversal of 150333203472 is 274302333051.

It is not an unprimeable number, because it can be changed into a prime (150333203477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10949572 + ... + 10963292.

It is an arithmetic number, because the mean of its divisors is an integer number (2664592848).

Almost surely, 2150333203472 is an apocalyptic number.

150333203472 is a gapful number since it is divisible by the number (12) 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 150333203472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213167427840).

150333203472 is an abundant number, since it is smaller than the sum of its proper divisors (276001652208).

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

150333203472 is a wasteful number, since it uses less digits than its factorization.

150333203472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14241 (or 14235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The spelling of 150333203472 in words is "one hundred fifty billion, three hundred thirty-three million, two hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 463 464 493 696 816 926 986 1389 1392 1479 1852 1972 2778 2958 3704 3944 5556 5916 7408 7871 7888 11112 11832 13427 13721 15742 22224 23613 23664 26854 27442 31484 40281 41163 47226 53708 54884 62968 80562 82326 94452 107416 109768 125936 161124 164652 188904 214832 219536 228259 233257 322248 329304 377808 397909 456518 466514 644496 658608 684777 699771 795818 913036 933028 1193727 1369554 1399542 1591636 1826072 1866056 2387454 2739108 2799084 3183272 3652144 3732112 4774908 5478216 5598168 6352823 6366544 6764453 9549816 10956432 11196336 12705646 13528906 19058469 19099632 20293359 25411292 27057812 38116938 40586718 50822584 54115624 76233876 81173436 101645168 107997991 108231248 152467752 162346872 184231867 215995982 304935504 323993973 324693744 368463734 431991964 552695601 647987946 736927468 863983928 1105391202 1295975892 1473854936 1727967856 2210782404 2591951784 2947709872 3131941739 4421564808 5183903568 6263883478 8843129616 9395825217 12527766956 18791650434 25055533912 37583300868 50111067824 75166601736 150333203472