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1148352172353 = 34312238572393
BaseRepresentation
bin10000101101011111000…
…111111001000101000001
311001210002122012121210000
4100231133013321011001
5122303311124003403
62235313512230213
7145652144261031
oct20553707710501
94053078177700
101148352172353
11403016955811
1216668499b369
138439b337849
143d81b0138c1
151ed1084a7a3
hex10b5f1f9141

1148352172353 has 80 divisors (see below), whose sum is σ = 1781536813056. Its totient is φ = 736381601280.

The previous prime is 1148352172343. The next prime is 1148352172367. The reversal of 1148352172353 is 3532712538411.

1148352172353 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 3 + 521 + 72 + 3 + 53 = 666.

It is not a de Polignac number, because 1148352172353 - 214 = 1148352155969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1148352172299 and 1148352172308.

It is not an unprimeable number, because it can be changed into a prime (1148352172343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 479878525 + ... + 479880917.

Almost surely, 21148352172353 is an apocalyptic number.

It is an amenable number.

1148352172353 is a deficient number, since it is larger than the sum of its proper divisors (633184640703).

1148352172353 is a wasteful number, since it uses less digits than its factorization.

1148352172353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3507 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 1148352172353 in words is "one trillion, one hundred forty-eight billion, three hundred fifty-two million, one hundred seventy-two thousand, three hundred fifty-three".

Divisors: 1 3 9 27 31 81 93 223 279 669 837 857 2007 2393 2511 2571 6021 6913 7179 7713 18063 20739 21537 23139 26567 62217 64611 69417 74183 79701 186651 191111 193833 222549 239103 533639 559953 573333 667647 717309 1600917 1719999 2002941 2050801 2151927 4802751 5159997 5924441 6008823 6152403 14408253 15479991 16542809 17773323 18457209 43224759 49628427 53319969 55371627 63574831 148885281 159959907 166114881 190724493 446655843 457328623 479879721 572173479 1339967529 1371985869 1716520437 4115957607 5149561311 12347872821 14177187313 37043618463 42531561939 127594685817 382784057451 1148352172353