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153964263401 = 1323774982501
BaseRepresentation
bin1000111101100011111…
…1000011011111101001
3112201102000220221220222
42033120333003133221
510010304322412101
6154421420255425
714060243434334
oct2173077033751
9481360827828
10153964263401
115a3288a39a3
1225a0a3a1575
131169896aa50
14764808161b
154011b4601b
hex23d8fc37e9

153964263401 has 8 divisors (see below), whose sum is σ = 165877456584. Its totient is φ = 142061040000.

The previous prime is 153964263329. The next prime is 153964263403. The reversal of 153964263401 is 104362469351.

It can be written as a sum of positive squares in 4 ways, for example, as 488365801 + 153475897600 = 22099^2 + 391760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 153964263401 - 230 = 152890521577 is a prime.

It is a super-2 number, since 2×1539642634012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153964263403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460350 + ... + 2522151.

It is an arithmetic number, because the mean of its divisors is an integer number (20734682073).

Almost surely, 2153964263401 is an apocalyptic number.

It is an amenable number.

153964263401 is a deficient number, since it is larger than the sum of its proper divisors (11913193183).

153964263401 is a wasteful number, since it uses less digits than its factorization.

153964263401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984891.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 153964263401 in words is "one hundred fifty-three billion, nine hundred sixty-four million, two hundred sixty-three thousand, four hundred one".

Divisors: 1 13 2377 30901 4982501 64772513 11843404877 153964263401