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155040213768 = 233112699912203
BaseRepresentation
bin1001000001100100011…
…1011110101100001000
3112211012000111220100120
42100121013132230020
510020010243320033
6155120253503240
714126020034016
oct2203107365410
9484160456316
10155040213768
115a830182380
122606a7a1b20
131180a84ac7b
14770ad1d8b6
15407632b1b3
hex24191deb08

155040213768 has 128 divisors (see below), whose sum is σ = 425029939200. Its totient is φ = 46738771200.

The previous prime is 155040213767. The next prime is 155040213787. The reversal of 155040213768 is 867312040551.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (155040213763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70375755 + ... + 70377957.

It is an arithmetic number, because the mean of its divisors is an integer number (3320546400).

Almost surely, 2155040213768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155040213768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212514969600).

155040213768 is an abundant number, since it is smaller than the sum of its proper divisors (269989725432).

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

155040213768 is a wasteful number, since it uses less digits than its factorization.

155040213768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 155040213768 in words is "one hundred fifty-five billion, forty million, two hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 269 538 807 991 1076 1614 1982 2152 2203 2959 2973 3228 3964 4406 5918 5946 6456 6609 7928 8812 8877 10901 11836 11892 13218 17624 17754 21802 23672 23784 24233 26436 32703 35508 43604 48466 52872 65406 71016 72699 87208 96932 130812 145398 193864 261624 266579 290796 533158 581592 592607 799737 1066316 1185214 1599474 1777821 2132632 2183173 2370428 2932369 3198948 3555642 4366346 4740856 5864738 6397896 6518677 6549519 7111284 8732692 8797107 11729476 13037354 13099038 14222568 17465384 17594214 19556031 23458952 24014903 26074708 26198076 35188428 39112062 48029806 52149416 52396152 70376856 72044709 78224124 96059612 144089418 156448248 192119224 288178836 576357672 587273537 1174547074 1761820611 2349094148 3523641222 4698188296 6460008907 7047282444 12920017814 14094564888 19380026721 25840035628 38760053442 51680071256 77520106884 155040213768