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161333713024 = 27114719912251
BaseRepresentation
bin1001011001000000111…
…1010001100010000000
3120102102121211210022121
42112100033101202000
510120402412304044
6202040553214024
714440666635241
oct2262017214200
9512377753277
10161333713024
116246a747530
1227326401314
13122a1679923
147b46acccc8
1542e3adb984
hex25903d1880

161333713024 has 128 divisors (see below), whose sum is σ = 359914752000. Its totient is φ = 71406720000.

The previous prime is 161333713001. The next prime is 161333713043. The reversal of 161333713024 is 420317333161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1613337130242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13162899 + ... + 13175149.

It is an arithmetic number, because the mean of its divisors is an integer number (2811834000).

Almost surely, 2161333713024 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 161333713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179957376000).

161333713024 is an abundant number, since it is smaller than the sum of its proper divisors (198581038976).

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

161333713024 is a wasteful number, since it uses less digits than its factorization.

161333713024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 161333713024 in words is "one hundred sixty-one billion, three hundred thirty-three million, seven hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 199 352 376 398 517 704 752 796 1034 1408 1504 1592 2068 2189 3008 3184 4136 4378 6016 6368 8272 8756 9353 12251 12736 16544 17512 18706 24502 25472 33088 35024 37412 49004 66176 70048 74824 98008 102883 134761 140096 149648 196016 205766 269522 280192 299296 392032 411532 539044 575797 598592 784064 823064 1078088 1151594 1197184 1568128 1646128 2156176 2303188 2437949 3292256 4312352 4606376 4875898 6333767 6584512 8624704 9212752 9751796 12667534 13169024 17249408 18425504 19503592 25335068 26817439 36851008 39007184 50670136 53634878 73702016 78014368 101340272 107269756 114583603 156028736 202680544 214539512 229167206 312057472 405361088 429079024 458334412 810722176 858158048 916668824 1260419633 1716316096 1833337648 2520839266 3432632192 3666675296 5041678532 7333350592 10083357064 14666701184 20166714128 40333428256 80666856512 161333713024