Search a number
-
+
215506663152 = 24311439492013
BaseRepresentation
bin1100100010110100110…
…0101011011011110000
3202121021000210210100220
43020231030223123300
512012324201210102
6243000303413040
721366312261324
oct3105514533360
9677230723326
10215506663152
11834399907a0
12359248b4180
1317425b140c1
14a605713984
1559149bb1bc
hex322d32b6f0

215506663152 has 80 divisors (see below), whose sum is σ = 621461140608. Its totient is φ = 63786320640.

The previous prime is 215506663139. The next prime is 215506663153. The reversal of 215506663152 is 251366605512.

215506663152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215506663153) 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, 4723303 + ... + 4768710.

Almost surely, 2215506663152 is an apocalyptic number.

215506663152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

215506663152 is an abundant number, since it is smaller than the sum of its proper divisors (405954477456).

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

215506663152 is a wasteful number, since it uses less digits than its factorization.

215506663152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492078 (or 9492072 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 215506663152 in words is "two hundred fifteen billion, five hundred six million, six hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 9492013 18984026 28476039 37968052 56952078 75936104 104412143 113904156 151872208 208824286 227808312 313236429 408156559 417648572 455616624 626472858 816313118 835297144 1224469677 1252945716 1632626236 1670594288 2448939354 2505891432 3265252472 4489722149 4897878708 5011782864 6530504944 8979444298 9795757416 13469166447 17958888596 19591514832 26938332894 35917777192 53876665788 71835554384 107753331576 215506663152