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151300553436 = 22322310310191741
BaseRepresentation
bin1000110011101000110…
…1110011101011011100
3112110112101200110210100
42030322031303223130
54434330420202221
6153301223541100
713634240325144
oct2147215635334
9473471613710
10151300553436
11591912441aa
12253a62ba790
1311362b4c2c6
1474743b7924
153e07d7d926
hex233a373adc

151300553436 has 144 divisors (see below), whose sum is σ = 403584330240. Its totient is φ = 47698104960.

The previous prime is 151300553431. The next prime is 151300553449. The reversal of 151300553436 is 634355003151.

151300553436 is a `hidden beast` number, since 1 + 5 + 1 + 300 + 5 + 5 + 343 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151300553436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151300553431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86903526 + ... + 86905266.

It is an arithmetic number, because the mean of its divisors is an integer number (2802668960).

Almost surely, 2151300553436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151300553436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201792165120).

151300553436 is an abundant number, since it is smaller than the sum of its proper divisors (252283776804).

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

151300553436 is a wasteful number, since it uses less digits than its factorization.

151300553436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 151300553436 its reverse (634355003151), we get a palindrome (785655556587).

The spelling of 151300553436 in words is "one hundred fifty-one billion, three hundred million, five hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 276 309 412 414 618 828 927 1019 1236 1741 1854 2038 2369 3057 3482 3708 4076 4738 5223 6114 6964 7107 9171 9476 10446 12228 14214 15669 18342 20892 21321 23437 28428 31338 36684 40043 42642 46874 62676 70311 80086 85284 93748 104957 120129 140622 160172 179323 209914 210933 240258 281244 314871 358646 360387 419828 421866 480516 537969 629742 717292 720774 843732 944613 1075938 1259484 1441548 1613907 1774079 1889226 2151876 2414011 3227814 3548158 3778452 4124429 4828022 5322237 6455628 7096316 7242033 8248858 9656044 10644474 12373287 14484066 15966711 16497716 21288948 21726099 24746574 28968132 31933422 37119861 40803817 43452198 49493148 63866844 74239722 81607634 86904396 122411451 148479444 163215268 182730137 244822902 365460274 367234353 489645804 548190411 730920548 734468706 1096380822 1468937412 1644571233 2192761644 3289142466 4202793151 6578284932 8405586302 12608379453 16811172604 25216758906 37825138359 50433517812 75650276718 151300553436