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153290698016 = 255997183617
BaseRepresentation
bin1000111011000011010…
…1100110110100100000
3112122200002111021220212
42032300311212310200
510002414404314031
6154230515353252
714034454302011
oct2166065466440
9478602437825
10153290698016
115a01266a295
12258608b2828
13115bc255851
1475c2829008
153ec294612b
hex23b0d66d20

153290698016 has 48 divisors (see below), whose sum is σ = 307225910880. Its totient is φ = 75267778560.

The previous prime is 153290698009. The next prime is 153290698021. The reversal of 153290698016 is 610896092351.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791440 + ... + 1875056.

It is an arithmetic number, because the mean of its divisors is an integer number (6400539810).

Almost surely, 2153290698016 is an apocalyptic number.

153290698016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153290698016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153612955440).

153290698016 is an abundant number, since it is smaller than the sum of its proper divisors (153935212864).

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

153290698016 is an equidigital number, since it uses as much as digits as its factorization.

153290698016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84657 (or 84649 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 153290698016 in words is "one hundred fifty-three billion, two hundred ninety million, six hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 971 1888 1942 3884 7768 15536 31072 57289 83617 114578 167234 229156 334468 458312 668936 916624 1337872 1833248 2675744 4933403 9866806 19733612 39467224 78934448 81192107 157868896 162384214 324768428 649536856 1299073712 2598147424 4790334313 9580668626 19161337252 38322674504 76645349008 153290698016