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13146003645225 = 3521122951079781
BaseRepresentation
bin1011111101001100101011…
…1000001010001100101001
31201112202010121010012000020
42333103022320022030221
53210341003413121400
643543105105231053
72524524140200503
oct277231270121451
951482117105006
1013146003645225
114209209384400
12158394a032489
137448802c13b9
143363acb30d73
1517be574b12a0
hexbf4cae0a329

13146003645225 has 144 divisors (see below), whose sum is σ = 24721403770560. Its totient is φ = 6152198976000.

The previous prime is 13146003645197. The next prime is 13146003645361. The reversal of 13146003645225 is 52254630064131.

13146003645225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13146003645225 - 29 = 13146003644713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1344029835 + ... + 1344039615.

Almost surely, 213146003645225 is an apocalyptic number.

13146003645225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13146003645225 is a deficient number, since it is larger than the sum of its proper divisors (11575400125335).

13146003645225 is a wasteful number, since it uses less digits than its factorization.

13146003645225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14952 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 13146003645225 in words is "thirteen trillion, one hundred forty-six billion, three million, six hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 121 145 165 275 319 363 435 605 725 825 957 1595 1815 2175 3025 3509 4785 5107 7975 9075 9781 10527 15321 17545 23925 25535 29343 48905 52635 56177 76605 87725 107591 127675 146715 148103 168531 244525 263175 280885 283649 322773 383025 444309 537955 617947 733575 740515 842655 850947 1183501 1404425 1418245 1613865 1629133 1853841 2221545 2689775 3089735 3120139 3550503 3702575 4213275 4254735 4887399 5917505 7091225 8069325 8145665 9269205 9360417 11107725 15448675 15600695 17752515 17920463 21273675 24436995 29587525 34321529 40728325 46346025 46802085 49951567 53761389 78003475 88762575 89602315 102964587 122184975 149854701 171607645 234010425 249757835 268806945 448011575 514822935 549467237 749273505 858038225 1248789175 1344034725 1448595443 1648401711 2574114675 2747336185 3746367525 4345786329 6044139607 7242977215 8242008555 13736680925 15934549873 18132418821 21728931645 30220698035 36214886075 41210042775 47803649619 79672749365 90662094105 108644658225 151103490175 175280048603 239018248095 398363746825 453310470525 525840145809 876400243015 1195091240475 2629200729045 4382001215075 13146003645225