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11407480368 = 2432921138839
BaseRepresentation
bin10101001111111000…
…00101011000110000
31002110000012001012220
422213330011120300
5141330303332433
65123541521040
7552454661154
oct124774053060
932400161186
1011407480368
114924252929
122264413180
1310ca4879ab
147a3061064
1546b72e2b3
hex2a7f05630

11407480368 has 80 divisors (see below), whose sum is σ = 30630777600. Its totient is φ = 3653879040.

The previous prime is 11407480313. The next prime is 11407480417. The reversal of 11407480368 is 86308470411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274293 + ... + 313131.

It is an arithmetic number, because the mean of its divisors is an integer number (382884720).

Almost surely, 211407480368 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 11407480368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315388800).

11407480368 is an abundant number, since it is smaller than the sum of its proper divisors (19223297232).

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

11407480368 is a wasteful number, since it uses less digits than its factorization.

11407480368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39090 (or 39084 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11407480368 in words is "eleven billion, four hundred seven million, four hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 211 232 348 422 464 633 696 844 1266 1392 1688 2532 3376 5064 6119 10128 12238 18357 24476 36714 38839 48952 73428 77678 97904 116517 146856 155356 233034 293712 310712 466068 621424 932136 1126331 1864272 2252662 3378993 4505324 6757986 8195029 9010648 13515972 16390058 18021296 24585087 27031944 32780116 49170174 54063888 65560232 98340348 131120464 196680696 237655841 393361392 475311682 712967523 950623364 1425935046 1901246728 2851870092 3802493456 5703740184 11407480368