Search a number
-
+
166555136154 = 2311411011135393
BaseRepresentation
bin1001101100011101110…
…1011011000010011010
3120220220111212120022110
42123013131123002122
510212101103324104
6204303034333150
715014251204221
oct2330735330232
9526814776273
10166555136154
11646aa039a60
1228342b8a1b6
1312924353904
1480c034bcb8
1544ec1cee89
hex26c775b09a

166555136154 has 128 divisors (see below), whose sum is σ = 379339220736. Its totient is φ = 48312320000.

The previous prime is 166555136149. The next prime is 166555136207. The reversal of 166555136154 is 451631555661.

It is a happy number.

It is a super-5 number, since 5×1665551361545 (a number of 57 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30880882 + ... + 30886274.

It is an arithmetic number, because the mean of its divisors is an integer number (2963587662).

Almost surely, 2166555136154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166555136154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189669610368).

166555136154 is an abundant number, since it is smaller than the sum of its proper divisors (212784084582).

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

166555136154 is a wasteful number, since it uses less digits than its factorization.

166555136154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664.

The product of its digits is 1620000, while the sum is 48.

The spelling of 166555136154 in words is "one hundred sixty-six billion, five hundred fifty-five million, one hundred thirty-six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 101 113 123 202 226 246 303 339 451 606 678 902 1111 1243 1353 2222 2486 2706 3333 3729 4141 4633 5393 6666 7458 8282 9266 10786 11413 12423 13899 16179 22826 24846 27798 32358 34239 45551 50963 59323 68478 91102 101926 118646 125543 136653 152889 177969 221113 251086 273306 305778 355938 376629 442226 467933 544693 609409 663339 753258 935866 1089386 1218818 1326678 1403799 1634079 1828227 2432243 2807598 3268158 3656454 4864486 5147263 5991623 6703499 7296729 10294526 11983246 13406998 14593458 15441789 17974869 20110497 22332413 24985769 30883578 35949738 40220994 44664826 49971538 61550309 66997239 74957307 123100618 133994478 149914614 184650927 245656543 274843459 369301854 491313086 549686918 677053399 736969629 824530377 1354106798 1473939258 1649060754 2031160197 2523562669 4062320394 5047125338 7570688007 15141376014 27759189359 55518378718 83277568077 166555136154