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150420501520 = 24537411239457
BaseRepresentation
bin1000110000010111000…
…0101011010000010000
3112101021001201012111221
42030011300223100100
54431030122022040
6153034025214424
713603363111132
oct2140560532020
9471231635457
10150420501520
115887a4a7173
122519b631414
131125271b523
1473cd571052
153da599274a
hex2305c2b410

150420501520 has 80 divisors (see below), whose sum is σ = 367940544048. Its totient is φ = 57114132480.

The previous prime is 150420501461. The next prime is 150420501527. The reversal of 150420501520 is 25105024051.

It can be written as a sum of positive squares in 8 ways, for example, as 13046544 + 150407454976 = 3612^2 + 387824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150420501527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 498369 + ... + 741088.

Almost surely, 2150420501520 is an apocalyptic number.

150420501520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150420501520 is an abundant number, since it is smaller than the sum of its proper divisors (217520042528).

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

150420501520 is a wasteful number, since it uses less digits than its factorization.

150420501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239548 (or 1239542 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 150420501520 its reverse (25105024051), we get a palindrome (175525525571).

The spelling of 150420501520 in words is "one hundred fifty billion, four hundred twenty million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1480 1517 1640 2960 3034 3280 6068 7585 12136 15170 24272 30340 60680 121360 1239457 2478914 4957828 6197285 9915656 12394570 19831312 24789140 45859909 49578280 50817737 91719818 99156560 101635474 183439636 203270948 229299545 254088685 366879272 406541896 458599090 508177370 733758544 813083792 917198180 1016354740 1834396360 1880256269 2032709480 3668792720 3760512538 4065418960 7521025076 9401281345 15042050152 18802562690 30084100304 37605125380 75210250760 150420501520