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1152055225552 = 247113136782193
BaseRepresentation
bin10000110000111011110…
…101111010110011010000
311002010122201011012210111
4100300323311322303100
5122333402114204202
62241125153411104
7146143000562350
oct20607365726320
94063581135714
101152055225552
11404647160460
12167338b69a94
138483b58a09a
143da8cb4ab60
151ee7a9b66d7
hex10c3bd7acd0

1152055225552 has 160 divisors (see below), whose sum is σ = 2880519634944. Its totient is φ = 433184716800.

The previous prime is 1152055225501. The next prime is 1152055225553. The reversal of 1152055225552 is 2555225502511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152055225553) 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, 13975368 + ... + 14057560.

Almost surely, 21152055225552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152055225552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440259817472).

1152055225552 is an abundant number, since it is smaller than the sum of its proper divisors (1728464409392).

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

1152055225552 is a wasteful number, since it uses less digits than its factorization.

1152055225552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82617 (or 82611 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 40.

The spelling of 1152055225552 in words is "one trillion, one hundred fifty-two billion, fifty-five million, two hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 367 434 496 616 682 734 868 1232 1364 1468 1736 2387 2569 2728 2936 3472 4037 4774 5138 5456 5872 8074 9548 10276 11377 16148 19096 20552 22754 28259 32296 38192 41104 45508 56518 64592 79639 82193 91016 113036 125147 159278 164386 182032 226072 250294 318556 328772 452144 500588 575351 637112 657544 876029 904123 1001176 1150702 1274224 1315088 1752058 1808246 2002352 2301404 2547983 3504116 3616492 4602808 5095966 6328861 7008232 7232984 9205616 10191932 12657722 14016464 14465968 17835881 20383864 25315444 28027813 30164831 35671762 40767728 50630888 56055626 60329662 71343524 101261776 112111252 120659324 142687048 196194691 211153817 224222504 241318648 285374096 331813141 392389382 422307634 448445008 482637296 663626282 784778764 844615268 935109761 1327252564 1569557528 1689230536 1870219522 2322691987 2654505128 3139115056 3378461072 3740439044 4645383974 5309010256 6545768327 7480878088 9290767948 10286207371 13091536654 14961756176 18581535896 20572414742 26183073308 37163071792 41144829484 52366146616 72003451597 82289658968 104732293232 144006903194 164579317936 288013806388 576027612776 1152055225552