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154242104352 = 2537253618671
BaseRepresentation
bin1000111110100110001…
…0111011110000100000
3112202010101201202001120
42033221202323300200
510011341434314402
6154505143332240
714100156153300
oct2175142736040
9482111652046
10154242104352
115a460712a16
1225a87451080
13117113aa78b
147672d27600
15402b2293bc
hex23e98bbc20

154242104352 has 144 divisors (see below), whose sum is σ = 479876648832. Its totient is φ = 43237608960.

The previous prime is 154242104321. The next prime is 154242104363. The reversal of 154242104352 is 253401242451.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60024 + ... + 558647.

It is an arithmetic number, because the mean of its divisors is an integer number (3332476728).

Almost surely, 2154242104352 is an apocalyptic number.

154242104352 is a gapful number since it is divisible by the number (12) 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 154242104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938324416).

154242104352 is an abundant number, since it is smaller than the sum of its proper divisors (325634544480).

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

154242104352 is a wasteful number, since it uses less digits than its factorization.

154242104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618751 (or 618736 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 154242104352 in words is "one hundred fifty-four billion, two hundred forty-two million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 588 636 672 742 784 848 1113 1176 1272 1484 1568 1696 2226 2352 2544 2597 2968 4452 4704 5088 5194 5936 7791 8904 10388 11872 15582 17808 20776 31164 35616 41552 62328 83104 124656 249312 618671 1237342 1856013 2474684 3712026 4330697 4949368 7424052 8661394 9898736 12992091 14848104 17322788 19797472 25984182 29696208 30314879 32789563 34645576 51968364 59392416 60629758 65579126 69291152 90944637 98368689 103936728 121259516 131158252 138582304 181889274 196737378 207873456 229526941 242519032 262316504 363778548 393474756 415746912 459053882 485038064 524633008 688580823 727557096 786949512 918107764 970076128 1049266016 1377161646 1455114192 1573899024 1606688587 1836215528 2754323292 2910228384 3147798048 3213377174 3672431056 4820065761 5508646584 6426754348 7344862112 9640131522 11017293168 12853508696 19280263044 22034586336 25707017392 38560526088 51414034784 77121052176 154242104352