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150162870640 = 24541191281853
BaseRepresentation
bin1000101111011001100…
…1111001000101110000
3112100121002221012101111
42023312121321011300
54430013143330030
6152552303243104
713564114224526
oct2136631710560
9470532835344
10150162870640
1158758031292
12251292a9494
1311211236713
1473a726a316
153d8d05262a
hex22f6679170

150162870640 has 160 divisors (see below), whose sum is σ = 361218880512. Its totient is φ = 58017792000.

The previous prime is 150162870581. The next prime is 150162870643. The reversal of 150162870640 is 46078261051.

150162870640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 150162870593 and 150162870602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150162870643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 176040454 + ... + 176041306.

Almost surely, 2150162870640 is an apocalyptic number.

150162870640 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 150162870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180609440256).

150162870640 is an abundant number, since it is smaller than the sum of its proper divisors (211056009872).

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

150162870640 is a wasteful number, since it uses less digits than its factorization.

150162870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 150162870640 in words is "one hundred fifty billion, one hundred sixty-two million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 191 205 281 328 382 410 562 656 764 820 853 955 1124 1405 1528 1640 1706 1910 2248 2810 3056 3280 3412 3820 4265 4496 5620 6824 7640 7831 8530 11240 11521 13648 15280 15662 17060 22480 23042 31324 34120 34973 39155 46084 53671 57605 62648 68240 69946 78310 92168 107342 115210 125296 139892 156620 162923 174865 184336 214684 230420 239693 268355 279784 313240 325846 349730 429368 460840 479386 536710 559568 626480 651692 699460 814615 858736 921680 958772 1073420 1198465 1303384 1398920 1629230 1917544 2146840 2200511 2396930 2606768 2797840 3258460 3835088 4293680 4401022 4793860 6516920 6679843 8802044 9587720 9827413 11002555 13033840 13359686 17604088 19175440 19654826 22005110 26719372 33399215 35208176 39309652 44010220 45781363 49137065 53438744 66798430 78619304 88020440 91562726 98274130 106877488 133596860 157238608 176040880 183125452 196548260 228906815 267193720 366250904 393096520 457813630 534387440 732501808 786193040 915627260 1831254520 1877035883 3662509040 3754071766 7508143532 9385179415 15016287064 18770358830 30032574128 37540717660 75081435320 150162870640