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155013057779776 = 26722223292
BaseRepresentation
bin100011001111101111001010…
…001111101001100001000000
3202022212002210112002212020221
4203033233022033221201000
5130304213220242423101
61305404003214112424
744436216035622400
oct4317571217514100
9668762715085227
10155013057779776
1145434739a30a59
121547669b4ab714
13686588cc82391
142a3c95a08c800
1512dc3a31b7aa1
hex8cfbca3e9840

155013057779776 has 63 divisors (see below), whose sum is σ = 357826713167469. Its totient is φ = 66433868809728.

The previous prime is 155013057779729. The next prime is 155013057779777. The reversal of 155013057779776 is 677977750310551.

The square root of 155013057779776 is 12450424.

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

It can be written as a sum of positive squares in only one way, i.e., 63527658739776 + 91485399040000 = 7970424^2 + 9564800^2 .

It is a super-2 number, since 2×1550130577797762 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155013057779777) 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 8 ways as a sum of consecutive naturals, for example, 697112580 + ... + 697334908.

Almost surely, 2155013057779776 is an apocalyptic number.

155013057779776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155013057779776 is the 12450424-th square number.

It is an amenable number.

155013057779776 is an abundant number, since it is smaller than the sum of its proper divisors (202813655387693).

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

155013057779776 is an frugal number, since it uses more digits than its factorization.

155013057779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444684 (or 222338 counting only the distinct ones).

The product of its (nonzero) digits is 340341750, while the sum is 70.

The spelling of 155013057779776 in words is "one hundred fifty-five trillion, thirteen billion, fifty-seven million, seven hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 222329 444658 889316 1556303 1778632 3112606 3557264 6225212 7114528 10894121 12450424 14229056 21788242 24900848 43576484 49801696 87152968 99603392 174305936 348611872 697223744 49430184241 98860368482 197720736964 346011289687 395441473928 692022579374 790882947856 1384045158748 1581765895712 2422079027809 2768090317496 3163531791424 4844158055618 5536180634992 9688316111236 11072361269984 19376632222472 22144722539968 38753264444944 77506528889888 155013057779776