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5980387968 = 273214934841
BaseRepresentation
bin1011001000111010…
…10111101010000000
3120102210011012000200
411210131113222000
544221434403333
62425232245200
7301125313302
oct54435275200
916383135020
105980387968
112599855aa5
1211aa9a0800
13743cc0109
1440a385972
15250061c13
hex164757a80

5980387968 has 96 divisors (see below), whose sum is σ = 17325184500. Its totient is φ = 1980026880.

The previous prime is 5980387949. The next prime is 5980388003. The reversal of 5980387968 is 8697830895.

5980387968 is a `hidden beast` number, since 598 + 0 + 38 + 7 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5002449984 + 977937984 = 70728^2 + 31272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154228 + ... + 189068.

Almost surely, 25980387968 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 5980387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662592250).

5980387968 is an abundant number, since it is smaller than the sum of its proper divisors (11344796532).

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

5980387968 is a wasteful number, since it uses less digits than its factorization.

5980387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010 (or 34995 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 5980387968 is about 77332.9681830460. The cubic root of 5980387968 is about 1815.1385746711.

The spelling of 5980387968 in words is "five billion, nine hundred eighty million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 288 298 384 447 576 596 894 1152 1192 1341 1788 2384 2682 3576 4768 5364 7152 9536 10728 14304 19072 21456 28608 34841 42912 57216 69682 85824 104523 139364 171648 209046 278728 313569 418092 557456 627138 836184 1114912 1254276 1672368 2229824 2508552 3344736 4459648 5017104 5191309 6689472 10034208 10382618 13378944 15573927 20068416 20765236 31147854 40136832 41530472 46721781 62295708 83060944 93443562 124591416 166121888 186887124 249182832 332243776 373774248 498365664 664487552 747548496 996731328 1495096992 1993462656 2990193984 5980387968