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1373130227888 = 24234110727949
BaseRepresentation
bin10011111110110100111…
…100001000000010110000
311212021021210202221111222
4103332310330020002300
5134444132314243023
62530450214124212
7201130306234016
oct23766474100260
94767253687458
101373130227888
1148a383241861
121a2156650668
139c640bc1733
144a661bc68b6
1525ab9250cc8
hex13fb4f080b0

1373130227888 has 120 divisors (see below), whose sum is σ = 2871008431200. Its totient is φ = 634629360640.

The previous prime is 1373130227873. The next prime is 1373130227893. The reversal of 1373130227888 is 8887220313731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172738538 + ... + 172746486.

It is an arithmetic number, because the mean of its divisors is an integer number (23925070260).

Almost surely, 21373130227888 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 1373130227888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435504215600).

1373130227888 is an abundant number, since it is smaller than the sum of its proper divisors (1497878203312).

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

1373130227888 is a wasteful number, since it uses less digits than its factorization.

1373130227888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 1373130227888 in words is "one trillion, three hundred seventy-three billion, one hundred thirty million, two hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 41 46 82 92 107 164 184 214 328 368 428 656 856 943 1712 1886 2461 3772 4387 4922 7544 7949 8774 9844 11449 15088 15898 17548 19688 22898 31796 35096 39376 45796 63592 70192 91592 100901 127184 182827 183184 201802 263327 325909 365654 403604 469409 526654 651818 731308 807208 850543 938818 1053308 1303636 1462616 1614416 1701086 1877636 2106616 2607272 2925232 3402172 3755272 4213232 5214544 6804344 7495907 7510544 10796407 13608688 14991814 19562489 21592814 29983628 34872263 39124978 43185628 59967256 69744526 78249956 86371256 91008101 119934512 139489052 156499912 172742512 182016202 278978104 312999824 364032404 557956208 728064808 802062049 1456129616 1604124098 2093186323 3208248196 3731332141 4186372646 6416496392 7462664282 8372745292 12832992784 14925328564 16745490584 29850657128 33490981168 59701314256 85820639243 171641278486 343282556972 686565113944 1373130227888