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149359060900 = 22527255212
BaseRepresentation
bin1000101100011001111…
…1100110011110100100
3112021112002102102201101
42023012133212132210
54421341404422100
6152340431005444
713535154033100
oct2130637463644
9467462372641
10149359060900
1158385329115
1224b44069884
131111384b75a
14732c5cc900
153d426c686a
hex22c67e67a4

149359060900 has 81 divisors (see below), whose sum is σ = 377093245347. Its totient is φ = 51199545600.

The previous prime is 149359060897. The next prime is 149359060927. The reversal of 149359060900 is 9060953941.

The square root of 149359060900 is 386470.

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 19338239844 + 130020821056 = 139062^2 + 360584^2 .

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, 27050140 + ... + 27055660.

Almost surely, 2149359060900 is an apocalyptic number.

149359060900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149359060900 is the 386470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149359060900

149359060900 is an abundant number, since it is smaller than the sum of its proper divisors (227734184447).

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

149359060900 is an frugal number, since it uses more digits than its factorization.

149359060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 149359060900 in words is "one hundred forty-nine billion, three hundred fifty-nine million, sixty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 5521 11042 22084 27605 38647 55210 77294 110420 138025 154588 193235 270529 276050 386470 541058 552100 772940 966175 1082116 1352645 1932350 2705290 3864700 5410580 6763225 13526450 27052900 30481441 60962882 121925764 152407205 213370087 304814410 426740174 609628820 762036025 853480348 1066850435 1493590609 1524072050 2133700870 2987181218 3048144100 4267401740 5334252175 5974362436 7467953045 10668504350 14935906090 21337008700 29871812180 37339765225 74679530450 149359060900