Search a number
-
+
11343587376 = 2431122717207
BaseRepresentation
bin10101001000010000…
…10110100000110000
31002021112221221111210
422210020112200300
5141212424244001
65113340240120
7551050621212
oct124410264060
932245857453
1011343587376
1148a1183100
122246b40040
1310ba176aa4
1479878c5b2
15465d0cdd6
hex2a4216830

11343587376 has 120 divisors (see below), whose sum is σ = 32333819392. Its totient is φ = 3424291200.

The previous prime is 11343587323. The next prime is 11343587401. The reversal of 11343587376 is 67378534311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1570365 + ... + 1577571.

Almost surely, 211343587376 is an apocalyptic number.

11343587376 is a gapful number since it is divisible by the number (16) 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 11343587376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166909696).

11343587376 is an abundant number, since it is smaller than the sum of its proper divisors (20990232016).

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

11343587376 is a wasteful number, since it uses less digits than its factorization.

11343587376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7494 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 11343587376 in words is "eleven billion, three hundred forty-three million, five hundred eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 271 363 484 528 542 726 813 968 1084 1452 1626 1936 2168 2904 2981 3252 4336 5808 5962 6504 7207 8943 11924 13008 14414 17886 21621 23848 28828 32791 35772 43242 47696 57656 65582 71544 79277 86484 98373 115312 131164 143088 158554 172968 196746 237831 262328 317108 345936 393492 475662 524656 634216 786984 872047 951324 1268432 1573968 1744094 1902648 1953097 2616141 3488188 3805296 3906194 5232282 5859291 6976376 7812388 10464564 11718582 13952752 15624776 20929128 21484067 23437164 31249552 41858256 42968134 46874328 64452201 85936268 93748656 128904402 171872536 236324737 257808804 343745072 472649474 515617608 708974211 945298948 1031235216 1417948422 1890597896 2835896844 3781195792 5671793688 11343587376