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155418509156416 = 261121416672
BaseRepresentation
bin100011010101101000110001…
…000001111010000001000000
3202101021212100010101212011021
4203111220301001322001000
5130332334101321001131
61310314135532155224
744510421353512642
oct4325506101720100
9671255303355137
10155418509156416
114558068a737300
1215521194308b14
136894b96b0b76c
142a5442024c892
1512e7bd3478e11
hex8d5a3107a040

155418509156416 has 63 divisors (see below), whose sum is σ = 338996974288287. Its totient is φ = 70644278221440.

The previous prime is 155418509156321. The next prime is 155418509156423. The reversal of 155418509156416 is 614651905814551.

The square root of 155418509156416 is 12466696.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1096998415 + ... + 1097140081.

Almost surely, 2155418509156416 is an apocalyptic number.

155418509156416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155418509156416 is the 12466696-th square number.

It is an amenable number.

155418509156416 is an abundant number, since it is smaller than the sum of its proper divisors (183578465131871).

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

155418509156416 is an frugal number, since it uses more digits than its factorization.

155418509156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283368 (or 141680 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 61.

The spelling of 155418509156416 in words is "one hundred fifty-five trillion, four hundred eighteen billion, five hundred nine million, one hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 141667 283334 566668 1133336 1558337 2266672 3116674 4533344 6233348 9066688 12466696 17141707 24933392 34283414 49866784 68566828 99733568 137133656 274267312 548534624 1097069248 20069538889 40139077778 80278155556 160556311112 220764927779 321112622224 441529855558 642225244448 883059711116 1284450488896 1766119422232 2428414205569 3532238844464 4856828411138 7064477688928 9713656822276 14128955377856 19427313644552 38854627289104 77709254578208 155418509156416