Search a number
-
+
148805597988100 = 225212198592
BaseRepresentation
bin100001110101011010000000…
…110011110000010100000100
3201111212200020222100221110201
4201311122000303300110010
5124001012331041104400
61244252203055500244
743225564303154344
oct4165320063602404
9644780228327421
10148805597988100
114346111078a519
1214833631827684
1365053ccc82a01
1428a632d574d24
151230b95e1c06a
hex875680cf0504

148805597988100 has 27 divisors (see below), whose sum is σ = 322908412343797. Its totient is φ = 59522190400880.

The previous prime is 148805597988043. The next prime is 148805597988143. The reversal of 148805597988100 is 1889795508841.

The square root of 148805597988100 is 12198590.

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

It can be written as a sum of positive squares in only one way, i.e., 53570015275716 + 95235582712384 = 7319154^2 + 9758872^2 .

It is a super-2 number, since 2×1488055979881002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121375971 + ... + 122595829.

Almost surely, 2148805597988100 is an apocalyptic number.

148805597988100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148805597988100 is the 12198590-th square number.

It is an amenable number.

148805597988100 is an abundant number, since it is smaller than the sum of its proper divisors (174102814355697).

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

148805597988100 is an frugal number, since it uses more digits than its factorization.

148805597988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439732 (or 1219866 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 73.

The spelling of 148805597988100 in words is "one hundred forty-eight trillion, eight hundred five billion, five hundred ninety-seven million, nine hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1219859 2439718 4879436 6099295 12198590 24397180 30496475 60992950 121985900 1488055979881 2976111959762 5952223919524 7440279899405 14880559798810 29761119597620 37201399497025 74402798994050 148805597988100