Search a number
-
+
154931427658070 = 2573171396971271
BaseRepresentation
bin100011001110100011001000…
…101101011100100101010110
3202022120022002120122000122222
4203032203020231130211112
5130301344030440024240
61305302303145222342
744430266131214360
oct4316431055344526
9668508076560588
10154931427658070
114540305a94a358
12154628b97919b2
13685ac811c930b
142a38a14a1bd30
1512da1c6a49eb5
hex8ce8c8b5c956

154931427658070 has 32 divisors (see below), whose sum is σ = 328997243621376. Its totient is φ = 51405819314400.

The previous prime is 154931427658057. The next prime is 154931427658079. The reversal of 154931427658070 is 70856724139451.

It is a happy number.

It is a super-2 number, since 2×1549314276580702 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 154931427657994 and 154931427658012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154931427658079) 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 15 ways as a sum of consecutive naturals, for example, 35698483466 + ... + 35698487805.

It is an arithmetic number, because the mean of its divisors is an integer number (10281163863168).

It is a 1-persistent number, because it is pandigital, but 2⋅154931427658070 = 309862855316140 is not.

Almost surely, 2154931427658070 is an apocalyptic number.

154931427658070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154931427658070 is an abundant number, since it is smaller than the sum of its proper divisors (174065815963306).

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

154931427658070 is a wasteful number, since it uses less digits than its factorization.

154931427658070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71396971316.

The product of its (nonzero) digits is 50803200, while the sum is 62.

The spelling of 154931427658070 in words is "one hundred fifty-four trillion, nine hundred thirty-one billion, four hundred twenty-seven million, six hundred fifty-eight thousand, seventy".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 71396971271 142793942542 356984856355 499778798897 713969712710 999557597794 2213306109401 2498893994485 4426612218802 4997787988970 11066530547005 15493142765807 22133061094010 30986285531614 77465713829035 154931427658070