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1148938817152 = 2774421290047
BaseRepresentation
bin10000101110000010000…
…101110000111010000000
311001211121112002021011011
4100232002011300322000
5122311011314122102
62235452030130304
7146002526544520
oct20560205607200
94054545067134
101148938817152
11403298011725
12166809350994
1384462a38649
143d874cc1680
151ed470cb2d7
hex10b82170e80

1148938817152 has 64 divisors (see below), whose sum is σ = 2616488202240. Its totient is φ = 492289274880.

The previous prime is 1148938817141. The next prime is 1148938817161. The reversal of 1148938817152 is 2517188398411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11489388171522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3816193 + ... + 4106239.

It is an arithmetic number, because the mean of its divisors is an integer number (40882628160).

Almost surely, 21148938817152 is an apocalyptic number.

It is an amenable number.

1148938817152 is an abundant number, since it is smaller than the sum of its proper divisors (1467549385088).

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

1148938817152 is an equidigital number, since it uses as much as digits as its factorization.

1148938817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294489 (or 294477 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 58.

The spelling of 1148938817152 in words is "one trillion, one hundred forty-eight billion, nine hundred thirty-eight million, eight hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4421 8842 17684 30947 35368 61894 70736 123788 141472 247576 282944 290047 495152 565888 580094 990304 1160188 1980608 2030329 2320376 3961216 4060658 4640752 8121316 9281504 16242632 18563008 32485264 37126016 64970528 129941056 259882112 1282297787 2564595574 5129191148 8976084509 10258382296 17952169018 20516764592 35904338036 41033529184 71808676072 82067058368 143617352144 164134116736 287234704288 574469408576 1148938817152