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30032271263328 = 2532271914171999
BaseRepresentation
bin1101101010000011011101…
…10111000100011001100000
310221100001112121202210102020
412311001232313010121200
512414022042420411303
6143512345052221440
76216521451532065
oct665015667043140
9127301477683366
1030032271263328
119629684208914
123450556a6a880
13139b053227539
1475b7d9302c6c
1537131cee9a53
hex1b506edc4660

30032271263328 has 96 divisors (see below), whose sum is σ = 79187238144000. Its totient is φ = 9965997719040.

The previous prime is 30032271263321. The next prime is 30032271263341. The reversal of 30032271263328 is 82336217223003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30032271263328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032271263321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417084673 + ... + 417156671.

It is an arithmetic number, because the mean of its divisors is an integer number (824867064000).

Almost surely, 230032271263328 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 30032271263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39593619072000).

30032271263328 is an abundant number, since it is smaller than the sum of its proper divisors (49154966880672).

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

30032271263328 is a wasteful number, since it uses less digits than its factorization.

30032271263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91380 (or 91372 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 30032271263328 in words is "thirty trillion, thirty-two billion, two hundred seventy-one million, two hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 19141 21792 38282 57423 71999 76564 114846 143998 153128 215997 229692 287996 306256 431994 459384 575992 612512 863988 918768 1151984 1727976 1837536 2303968 3455952 4345007 6911904 8690014 13035021 16343773 17380028 26070042 32687546 34760056 49031319 52140084 65375092 69520112 98062638 104280168 130750184 139040224 196125276 208560336 261500368 392250552 417120672 523000736 784501104 1378132859 1569002208 2756265718 4134398577 5512531436 8268797154 11025062872 16537594308 22050125744 33075188616 44100251488 66150377232 132300754464 312836158993 625672317986 938508476979 1251344635972 1877016953958 2502689271944 3754033907916 5005378543888 7508067815832 10010757087776 15016135631664 30032271263328