Search a number
-
+
150425294480 = 24529121353453
BaseRepresentation
bin1000110000011000001…
…0111101011010010000
3112101021101201201012222
42030012002331122100
54431032333410410
6153034320040212
713603451622566
oct2140602753220
9471241651188
10150425294480
115888218019a
12251a1163068
1311253708cb6
1473d005ba36
153da60dc955
hex23060bd690

150425294480 has 80 divisors (see below), whose sum is σ = 362103810480. Its totient is φ = 58046306304.

The previous prime is 150425294477. The next prime is 150425294603. The reversal of 150425294480 is 84492524051.

It can be written as a sum of positive squares in 8 ways, for example, as 12849582736 + 137575711744 = 113356^2 + 370912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2787434 + ... + 2840886.

It is an arithmetic number, because the mean of its divisors is an integer number (4526297631).

Almost surely, 2150425294480 is an apocalyptic number.

150425294480 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 150425294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051905240).

150425294480 is an abundant number, since it is smaller than the sum of its proper divisors (211678516000).

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

150425294480 is a wasteful number, since it uses less digits than its factorization.

150425294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54708 (or 54702 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 150425294480 in words is "one hundred fifty billion, four hundred twenty-five million, two hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1213 2320 2426 4852 6065 9704 12130 19408 24260 35177 48520 53453 70354 97040 106906 140708 175885 213812 267265 281416 351770 427624 534530 562832 703540 855248 1069060 1407080 1550137 2138120 2814160 3100274 4276240 6200548 7750685 12401096 15501370 24802192 31002740 62005480 64838489 124010960 129676978 259353956 324192445 518707912 648384890 1037415824 1296769780 1880316181 2593539560 3760632362 5187079120 7521264724 9401580905 15042529448 18803161810 30085058896 37606323620 75212647240 150425294480