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148049297337601 = 112832133272
BaseRepresentation
bin100001101010011001101001…
…110001101110110100000001
3201102012101010002021011111001
4201222121221301232310001
5123401114430104300401
61242512524104052001
743120131413540542
oct4152315161566401
9642171102234431
10148049297337601
114319a399789900
1214730b42164001
13647bcb16123ba
14287b8a4c2c4c9
15121b17e29a601
hex86a669c6ed01

148049297337601 has 27 divisors (see below), whose sum is σ = 164728479742113. Its totient is φ = 132958723393320.

The previous prime is 148049297337589. The next prime is 148049297337659. The reversal of 148049297337601 is 106733792940841.

The square root of 148049297337601 is 12167551.

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

It is not a de Polignac number, because 148049297337601 - 221 = 148049295240449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148049297337001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11108967400 + ... + 11108980726.

Almost surely, 2148049297337601 is an apocalyptic number.

148049297337601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

148049297337601 is the 12167551-st square number.

148049297337601 is the 6083776-th centered octagonal number.

It is an amenable number.

148049297337601 is a deficient number, since it is larger than the sum of its proper divisors (16679182404512).

148049297337601 is an frugal number, since it uses more digits than its factorization.

148049297337601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26842 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 148049297337601 in words is "one hundred forty-eight trillion, forty-nine billion, two hundred ninety-seven million, three hundred thirty-seven thousand, six hundred one".

Divisors: 1 11 83 121 913 6889 10043 13327 75779 146597 833569 1106141 1612567 12167551 91809703 133843061 177608929 1009906733 1953698219 11108974063 14741541107 21490680409 162156952177 1223547911881 1783726473947 13459027030691 148049297337601