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148481547264 = 2103216111279
BaseRepresentation
bin1000101001001000110…
…0001001110000000000
3112012020221020010022100
42022102030021300000
54413042234003024
6152113402510400
713504340220231
oct2122214116000
9465227203270
10148481547264
1157a74a65136
122493a205400
1311003ac910b
147287c47088
153ce063c7c9
hex2292309c00

148481547264 has 66 divisors (see below), whose sum is σ = 428737272080. Its totient is φ = 49493846016.

The previous prime is 148481547257. The next prime is 148481547293. The reversal of 148481547264 is 462745184841.

148481547264 is a `hidden beast` number, since 1 + 48 + 481 + 54 + 72 + 6 + 4 = 666.

It is a super-2 number, since 2×1484815472642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148481547264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8046424 + ... + 8064855.

Almost surely, 2148481547264 is an apocalyptic number.

It is an amenable number.

148481547264 is an abundant number, since it is smaller than the sum of its proper divisors (280255724816).

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

148481547264 is a wasteful number, since it uses less digits than its factorization.

148481547264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16111305 (or 16111284 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 148481547264 in words is "one hundred forty-eight billion, four hundred eighty-one million, five hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 16111279 32222558 48333837 64445116 96667674 128890232 145001511 193335348 257780464 290003022 386670696 515560928 580006044 773341392 1031121856 1160012088 1546682784 2062243712 2320024176 3093365568 4124487424 4640048352 6186731136 8248974848 9280096704 12373462272 16497949696 18560193408 24746924544 37120386816 49493849088 74240773632 148481547264