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1350016257604 = 227214925572
BaseRepresentation
bin10011101001010011001…
…111010100111001000100
311210001121221202121002111
4103221103033110321010
5134104313130220404
62512104445350404
7166351442565400
oct23512317247104
94701557677074
101350016257604
114805a1a89883
12199785868404
139a3c933a041
14494ac10c100
15251b4e2c104
hex13a533d4e44

1350016257604 has 81 divisors (see below), whose sum is σ = 2771792055543. Its totient is φ = 573663550656.

The previous prime is 1350016257539. The next prime is 1350016257619. The reversal of 1350016257604 is 4067526100531.

The square root of 1350016257604 is 1161902.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 855458508100 + 494557749504 = 924910^2 + 703248^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2423727294 + ... + 2423727850.

Almost surely, 21350016257604 is an apocalyptic number.

1350016257604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1350016257604 is the 1161902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350016257604

1350016257604 is an abundant number, since it is smaller than the sum of its proper divisors (1421775797939).

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

1350016257604 is an frugal number, since it uses more digits than its factorization.

1350016257604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 1350016257604 in words is "one trillion, three hundred fifty billion, sixteen million, two hundred fifty-seven thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 557 596 1043 1114 2086 2228 3899 4172 7301 7798 14602 15596 22201 27293 29204 44402 54586 82993 88804 109172 155407 165986 310249 310814 331972 580951 620498 621628 1087849 1161902 1240996 2171743 2175698 2323804 4066657 4343486 4351396 8133314 8686972 12365957 15202201 16266628 24731914 30404402 46227101 49463828 60808804 86561699 92454202 173123398 184908404 323589707 346246796 605931893 647179414 1211863786 1294358828 2265127949 2423727572 4530255898 6887838049 9060511796 13775676098 27551352196 48214866343 96429732686 192859465372 337504064401 675008128802 1350016257604