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154287990164 = 227117115744939
BaseRepresentation
bin1000111110110001000…
…1111110010110010100
3112202020121001222120002
42033230101332112110
510011440211141124
6154513503030432
714101254164210
oct2175421762624
9482217058502
10154287990164
115a484603680
1225a9a89b418
131171aa55349
14767906d940
1540302900ae
hex23ec47e594

154287990164 has 96 divisors (see below), whose sum is σ = 343551559680. Its totient is φ = 58886755200.

The previous prime is 154287990113. The next prime is 154287990169. The reversal of 154287990164 is 461099782451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154287990169) 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, 3410807 + ... + 3455745.

It is an arithmetic number, because the mean of its divisors is an integer number (3578662080).

Almost surely, 2154287990164 is an apocalyptic number.

154287990164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154287990164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171775779840).

154287990164 is an abundant number, since it is smaller than the sum of its proper divisors (189263569516).

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

154287990164 is a wasteful number, since it uses less digits than its factorization.

154287990164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45189 (or 45187 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 154287990164 in words is "one hundred fifty-four billion, two hundred eighty-seven million, nine hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 157 284 308 314 497 628 781 994 1099 1562 1727 1988 2198 3124 3454 4396 5467 6908 10934 11147 12089 21868 22294 24178 44588 44939 48356 78029 89878 122617 156058 179756 245234 312116 314573 490468 494329 629146 858319 988658 1258292 1716638 1977316 3190669 3433276 3460303 6381338 6920606 7055423 12762676 13841212 14110846 22334683 28221692 35097359 44669366 49387961 70194718 77609653 89338732 98775922 140389436 155219306 197551844 245681513 310438612 491363026 500935033 543267571 982726052 1001870066 1086535142 2003740132 2173070284 3506545231 5510285363 7013090462 11020570726 14026180924 22041141452 38571997541 77143995082 154287990164