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150223565525 = 521117247131307
BaseRepresentation
bin1000101111101000000…
…1011011001011010101
3112100202100010211010012
42023322001123023111
54430124213044100
6153002312210005
713565452144535
oct2137201331325
9470670124105
10150223565525
1158789317250
1225145699905
1311220997a57
1473b13494c5
153d93541135
hex22fa05b2d5

150223565525 has 144 divisors (see below), whose sum is σ = 222867735552. Its totient is φ = 99545472000.

The previous prime is 150223565509. The next prime is 150223565537. The reversal of 150223565525 is 525565322051.

150223565525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 150223565525 - 24 = 150223565509 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489327422 + ... + 489327728.

It is an arithmetic number, because the mean of its divisors is an integer number (1547692608).

Almost surely, 2150223565525 is an apocalyptic number.

It is an amenable number.

150223565525 is a deficient number, since it is larger than the sum of its proper divisors (72644170027).

150223565525 is a wasteful number, since it uses less digits than its factorization.

150223565525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

Adding to 150223565525 its reverse (525565322051), we get a palindrome (675788887576).

The spelling of 150223565525 in words is "one hundred fifty billion, two hundred twenty-three million, five hundred sixty-five thousand, five hundred twenty-five".

Divisors: 1 5 11 17 25 47 55 85 131 187 235 275 289 307 425 517 655 799 935 1175 1441 1445 1535 2227 2585 3179 3275 3377 3995 4675 5219 6157 7205 7225 7675 8789 11135 12925 13583 14429 15895 16885 19975 24497 26095 30785 36025 37859 40217 43945 55675 57409 67727 67915 72145 79475 84425 88723 104669 122485 130475 149413 153925 158719 189295 201085 219725 245293 287045 338635 339575 360725 416449 442387 443615 523345 612425 683689 747065 793595 946475 975953 1005425 1151359 1226465 1435225 1693175 1779373 1890199 2082245 2211935 2218075 2616725 2698223 3418445 3735325 3967975 4169981 4879765 5756795 6132325 7520579 8896865 9450995 10411225 11059675 11622713 13491115 17092225 19573103 20792189 20849905 24398825 28783975 32133383 37602895 44484325 45869791 47254975 58113565 67455575 97865515 103960945 104249525 127849843 160666915 188014475 229348955 290567825 353467213 489327575 519804725 546267511 639249215 803334575 1146744775 1767336065 2731337555 3196246075 6008942621 8836680325 13656687775 30044713105 150223565525