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150486581476 = 22721142292
BaseRepresentation
bin1000110000100110110…
…0110000000011100100
3112101102200001102011201
42030021230300003210
54431144031101401
6153044345412244
713605124560100
oct2141154600344
9471380042151
10150486581476
1158903830000
12251b979a084
13112633169aa
1473d8252900
153dab696b01
hex2309b300e4

150486581476 has 135 divisors (see below), whose sum is σ = 338458315545. Its totient is φ = 58375104480.

The previous prime is 150486581471. The next prime is 150486581477. The reversal of 150486581476 is 674185684051.

The square root of 150486581476 is 387926.

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

It can be written as a sum of positive squares in only one way, i.e., 140155891876 + 10330689600 = 374374^2 + 101640^2 .

It is a super-2 number, since 2×1504865814762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150486581471) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 657146530 + ... + 657146758.

Almost surely, 2150486581476 is an apocalyptic number.

150486581476 is the 387926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150486581476

150486581476 is an abundant number, since it is smaller than the sum of its proper divisors (187971734069).

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

150486581476 is an frugal number, since it uses more digits than its factorization.

150486581476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 150486581476 in words is "one hundred fifty billion, four hundred eighty-six million, five hundred eighty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 229 242 308 458 484 539 847 916 1078 1331 1603 1694 2156 2519 2662 3206 3388 5038 5324 5929 6412 9317 10076 11221 11858 14641 17633 18634 22442 23716 27709 29282 35266 37268 44884 52441 55418 58564 65219 70532 102487 104882 110836 123431 130438 193963 204974 209764 246862 260876 304799 367087 387926 409948 493724 576851 609598 717409 734174 775852 1153702 1219196 1357741 1434818 1468348 2133593 2307404 2569609 2715482 2869636 3352789 4037957 4267186 5139218 5430964 6345361 6705578 8075914 8534372 10278436 12690722 13411156 14935151 16151828 23469523 25381444 28265699 29870302 44417527 46939046 56531398 59740604 69798971 88835054 93878092 113062796 139597942 164286661 177670108 279195884 310922689 328573322 488592797 621845378 657146644 767788681 977185594 1243690756 1535577362 1954371188 3071154724 3420149579 5374520767 6840299158 10749041534 13680598316 21498083068 37621645369 75243290738 150486581476