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980158464 = 21132411297
BaseRepresentation
bin111010011011000…
…000100000000000
32112022100012122100
4322123000200000
54001410032324
6241132110400
733201131565
oct7233004000
92468305570
10980158464
1146330161a
12234305400
131280b0c2c
149426486c
155b0b24c9
hex3a6c0800

980158464 has 144 divisors (see below), whose sum is σ = 2902159260. Its totient is φ = 318504960.

The previous prime is 980158463. The next prime is 980158471. The reversal of 980158464 is 464851089.

980158464 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 584 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 973440000 + 6718464 = 31200^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9801584642 = 1921421229101678592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980158463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755064 + ... + 756360.

Almost surely, 2980158464 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 980158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451079630).

980158464 is an abundant number, since it is smaller than the sum of its proper divisors (1922000796).

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

980158464 is a wasteful number, since it uses less digits than its factorization.

980158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 980158464 is about 31307.4825560919. The cubic root of 980158464 is about 993.3419230623.

It can be divided in two parts, 9801 and 58464, that added together give a triangular number (68265 = T369).

The spelling of 980158464 in words is "nine hundred eighty million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1297 1312 1476 1536 1968 2048 2304 2594 2624 2952 3072 3891 3936 4608 5188 5248 5904 6144 7782 7872 9216 10376 10496 11673 11808 15564 15744 18432 20752 20992 23346 23616 31128 31488 41504 41984 46692 47232 53177 62256 62976 83008 83968 93384 94464 106354 124512 125952 159531 166016 186768 188928 212708 249024 251904 319062 332032 373536 377856 425416 478593 498048 638124 664064 747072 755712 850832 957186 996096 1276248 1328128 1494144 1701664 1914372 1992192 2552496 2656256 2988288 3403328 3828744 3984384 5104992 5976576 6806656 7657488 7968768 10209984 11953152 13613312 15314976 20419968 23906304 27226624 30629952 40839936 54453248 61259904 81679872 108906496 122519808 163359744 245039616 326719488 490079232 980158464