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13419631152 = 2433231350607
BaseRepresentation
bin11000111111101111…
…10101001000110000
31021122020101220012000
430133313311020300
5204440411144102
610055341134000
7653356661034
oct143767651060
937566356160
1013419631152
115767039564
12272625a300
13135b2c7865
149143a01c4
155381e201c
hex31fdf5230

13419631152 has 80 divisors (see below), whose sum is σ = 40194094080. Its totient is φ = 4278719808.

The previous prime is 13419631117. The next prime is 13419631153. The reversal of 13419631152 is 25113691431.

13419631152 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 631 + 15 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13419631153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 665368 + ... + 685239.

It is an arithmetic number, because the mean of its divisors is an integer number (502426176).

Almost surely, 213419631152 is an apocalyptic number.

13419631152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13419631152 is an abundant number, since it is smaller than the sum of its proper divisors (26774462928).

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

13419631152 is a wasteful number, since it uses less digits than its factorization.

13419631152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350647 (or 1350635 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 13419631152 in words is "thirteen billion, four hundred nineteen million, six hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 1350607 2701214 4051821 5402428 8103642 10804856 12155463 16207284 21609712 24310926 31063961 32414568 36466389 48621852 62127922 64829136 72932778 93191883 97243704 124255844 145865556 186383766 194487408 248511688 279575649 291731112 372767532 497023376 559151298 583462224 745535064 838726947 1118302596 1491070128 1677453894 2236605192 3354907788 4473210384 6709815576 13419631152