Search a number
-
+
148478981200 = 245211118728429
BaseRepresentation
bin1000101001001000001…
…0010111010001010000
3112012020202101202022221
42022102002113101100
54413041104344300
6152113231510424
713504306342054
oct2122202272120
9465222352287
10148478981200
1157a73572220
1224939388414
131100340b134
147287779c64
153ce02d231a
hex2292097450

148478981200 has 120 divisors (see below), whose sum is σ = 389491454880. Its totient is φ = 53944972800.

The previous prime is 148478981177. The next prime is 148478981227. The reversal of 148478981200 is 2189874841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5208586 + ... + 5237014.

It is an arithmetic number, because the mean of its divisors is an integer number (3245762124).

Almost surely, 2148478981200 is an apocalyptic number.

148478981200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148478981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745727440).

148478981200 is an abundant number, since it is smaller than the sum of its proper divisors (241012473680).

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

148478981200 is a wasteful number, since it uses less digits than its factorization.

148478981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29645 (or 29634 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 148478981200 in words is "one hundred forty-eight billion, four hundred seventy-eight million, nine hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1187 2200 2374 4400 4748 5935 9496 11870 13057 18992 23740 26114 28429 29675 47480 52228 56858 59350 65285 94960 104456 113716 118700 130570 142145 208912 227432 237400 261140 284290 312719 326425 454864 474800 522280 568580 625438 652850 710725 1044560 1137160 1250876 1305700 1421450 1563595 2274320 2501752 2611400 2842900 3127190 5003504 5222800 5685800 6254380 7817975 11371600 12508760 15635950 25017520 31271900 33745223 62543800 67490446 125087600 134980892 168726115 269961784 337452230 371197453 539923568 674904460 742394906 843630575 1349808920 1484789812 1687261150 1855987265 2699617840 2969579624 3374522300 3711974530 5939159248 6749044600 7423949060 9279936325 13498089200 14847898120 18559872650 29695796240 37119745300 74239490600 148478981200