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153412427007 = 33737201110909
BaseRepresentation
bin1000111011100000010…
…1111101110011111111
3112122222120112202201000
42032320011331303333
510003142040131012
6154250544421343
714040463054020
oct2167005756377
9478876482630
10153412427007
115a075352064
1225895617853
131160b536738
1475d4a74c47
153ecd48dddc
hex23b817dcff

153412427007 has 64 divisors (see below), whose sum is σ = 266923187200. Its totient is φ = 85244711040.

The previous prime is 153412426963. The next prime is 153412427009. The reversal of 153412427007 is 700724214351.

153412427007 is a `hidden beast` number, since 1 + 5 + 341 + 242 + 70 + 0 + 7 = 666.

It is not a de Polignac number, because 153412427007 - 26 = 153412426943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153412427009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14057469 + ... + 14068377.

It is an arithmetic number, because the mean of its divisors is an integer number (4170674800).

Almost surely, 2153412427007 is an apocalyptic number.

153412427007 is a deficient number, since it is larger than the sum of its proper divisors (113510760193).

153412427007 is a wasteful number, since it uses less digits than its factorization.

153412427007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 153412427007 in words is "one hundred fifty-three billion, four hundred twelve million, four hundred twenty-seven thousand, seven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2011 2331 6033 6993 10909 14077 18099 32727 42231 54297 74407 76363 98181 126693 223221 229089 294543 380079 403633 520849 669663 687267 1210899 1562547 2008989 2061801 2825431 3632697 4687641 8476293 10898091 14062923 21937999 25428879 65813997 76286637 153565993 197441991 460697979 592325973 811705963 1382093937 2435117889 4146281811 5681941741 7305353667 17045825223 21916061001 51137475669 153412427007