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155241555642 = 23323214293803
BaseRepresentation
bin1001000010010100011…
…1100010011010111010
3112211201001101010111000
42100211013202122322
510020413314240032
6155152245145430
714134013310405
oct2204507423272
9484631333430
10155241555642
115a9238a1518
12261060bb276
1311840484c84
147729970d3c
154088d4ce7c
hex24251e26ba

155241555642 has 96 divisors (see below), whose sum is σ = 360979819200. Its totient is φ = 49449663648.

The previous prime is 155241555641. The next prime is 155241555647. The reversal of 155241555642 is 246555142551.

It is a happy number.

155241555642 is a `hidden beast` number, since 1 + 5 + 52 + 4 + 1 + 5 + 556 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (155241555641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40818913 + ... + 40822715.

It is an arithmetic number, because the mean of its divisors is an integer number (3760206450).

Almost surely, 2155241555642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155241555642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180489909600).

155241555642 is an abundant number, since it is smaller than the sum of its proper divisors (205738263558).

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

155241555642 is a wasteful number, since it uses less digits than its factorization.

155241555642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5260 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 155241555642 in words is "one hundred fifty-five billion, two hundred forty-one million, five hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1429 1587 2858 3174 3803 4287 4761 7606 8574 9522 11409 12861 14283 22818 25722 28566 32867 34227 38583 65734 68454 77166 87469 98601 102681 174938 197202 205362 262407 295803 524814 591606 755941 787221 887409 1511882 1574442 1774818 2011787 2267823 2361663 4023574 4535646 4723326 5434487 6035361 6803469 10868974 12070722 13606938 16303461 18106083 20410407 32606922 36212166 40820814 48910383 54318249 97820766 108636498 124993201 146731149 249986402 293462298 374979603 749959206 1124938809 2249877618 2874843623 3374816427 5749687246 6749632854 8624530869 17249061738 25873592607 51747185214 77620777821 155241555642