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148111061904 = 243213224672
BaseRepresentation
bin1000100111110000011…
…0110111001110010000
3112011022010002111221100
42021330012313032100
54411312412440104
6152012530024400
713462221153051
oct2117406671620
9464263074840
10148111061904
11578a4918a93
1224856118100
1310c7511c900
147250966728
153cbcd59139
hex227c1b7390

148111061904 has 135 divisors (see below), whose sum is σ = 449024990193. Its totient is φ = 45554161536.

The previous prime is 148111061849. The next prime is 148111061911. The reversal of 148111061904 is 409160111841.

The square root of 148111061904 is 384852.

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

148111061904 is a `hidden beast` number, since 1 + 481 + 110 + 61 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21909920400 + 126201141504 = 148020^2 + 355248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60035679 + ... + 60038145.

Almost surely, 2148111061904 is an apocalyptic number.

148111061904 is the 384852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148111061904

148111061904 is an abundant number, since it is smaller than the sum of its proper divisors (300913928289).

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

148111061904 is an equidigital number, since it uses as much as digits as its factorization.

148111061904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Multiplying 148111061904 by its sum of digits (36), we get a square (5331998228544 = 23091122).

148111061904 divided by its sum of digits (36) gives a square (4114196164 = 641422).

The spelling of 148111061904 in words is "one hundred forty-eight billion, one hundred eleven million, sixty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2467 2704 3042 4056 4934 6084 7401 8112 9868 12168 14802 19736 22203 24336 29604 32071 39472 44406 59208 64142 88812 96213 118416 128284 177624 192426 256568 288639 355248 384852 416923 513136 577278 769704 833846 1154556 1250769 1539408 1667692 2309112 2501538 3335384 3752307 4618224 5003076 6086089 6670768 7504614 10006152 12172178 15009228 18258267 20012304 24344356 30018456 36516534 48688712 54774801 60036912 73033068 79119157 97377424 109549602 146066136 158238314 219099204 237357471 292132272 316476628 438198408 474714942 632953256 712072413 876396816 949429884 1028549041 1265906512 1424144826 1898859768 2057098082 2848289652 3085647123 3797719536 4114196164 5696579304 6171294246 8228392328 9256941369 11393158608 12342588492 16456784656 18513882738 24685176984 37027765476 49370353968 74055530952 148111061904