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640254156150 = 235272157554837
BaseRepresentation
bin10010101000100100001…
…11110001110101110110
32021012121102011001200110
421110102013301311312
540442220030444100
61210043444323450
764154044350600
oct11242207616566
92235542131613
10640254156150
11227591863944
12a41039a3586
13484b657910b
1422dba4d0170
15119c3d0a250
hex95121f1d76

640254156150 has 144 divisors (see below), whose sum is σ = 1858836022416. Its totient is φ = 145411418880.

The previous prime is 640254156067. The next prime is 640254156151. The reversal of 640254156150 is 51651452046.

640254156150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 640254156099 and 640254156108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640254156151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 876532 + ... + 1431368.

It is an arithmetic number, because the mean of its divisors is an integer number (12908583489).

Almost surely, 2640254156150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640254156150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929418011208).

640254156150 is an abundant number, since it is smaller than the sum of its proper divisors (1218581866266).

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

640254156150 is a wasteful number, since it uses less digits than its factorization.

640254156150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555023 (or 555011 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 640254156150 in words is "six hundred forty billion, two hundred fifty-four million, one hundred fifty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 157 175 210 245 294 314 350 471 490 525 735 785 942 1050 1099 1225 1470 1570 2198 2355 2450 3297 3675 3925 4710 5495 6594 7350 7693 7850 10990 11775 15386 16485 23079 23550 27475 32970 38465 46158 54950 76930 82425 115395 164850 192325 230790 384650 554837 576975 1109674 1153950 1664511 2774185 3329022 3883859 5548370 7767718 8322555 11651577 13870925 16645110 19419295 23303154 27187013 27741850 38838590 41612775 54374026 58257885 81561039 83225550 87109409 97096475 116515770 135935065 163122078 174218818 194192950 261328227 271870130 291289425 407805195 435547045 522656454 582578850 609765863 679675325 815610390 871094090 1219531726 1306641135 1359350650 1829297589 2039025975 2177735225 2613282270 3048829315 3658595178 4078051950 4268361041 4355470450 6097658630 6533205675 8536722082 9146487945 12805083123 13066411350 15244146575 18292975890 21341805205 25610166246 30488293150 42683610410 45732439725 64025415615 91464879450 106709026025 128050831230 213418052050 320127078075 640254156150