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2052331299216 = 2432112108532
BaseRepresentation
bin11101110111011000011…
…110100110000110010000
321021012102111102021220100
4131313120132212012100
5232111133303033331
64210454502212400
7301163453131362
oct35673036460620
97235374367810
102052331299216
11721430572500
12291909724100
1311b6c32b7693
1471494a78d32
15385bc377ae6
hex1ddd87a6190

2052331299216 has 135 divisors (see below), whose sum is σ = 6313879818337. Its totient is φ = 621861271680.

The previous prime is 2052331299203. The next prime is 2052331299307. The reversal of 2052331299216 is 6129921332502.

The square root of 2052331299216 is 1432596.

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

2052331299216 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 331 + 299 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1105399904400 + 946931394816 = 1051380^2 + 973104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189097246 + ... + 189108098.

Almost surely, 22052331299216 is an apocalyptic number.

2052331299216 is the 1432596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052331299216

2052331299216 is an abundant number, since it is smaller than the sum of its proper divisors (4261548519121).

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

2052331299216 is an equidigital number, since it uses as much as digits as its factorization.

2052331299216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2052331299216 in words is "two trillion, fifty-two billion, three hundred thirty-one million, two hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 10853 17424 21706 32559 43412 65118 86824 97677 119383 130236 173648 195354 238766 260472 358149 390708 477532 520944 716298 781416 955064 1074447 1313213 1432596 1562832 1910128 2148894 2626426 2865192 3939639 4297788 5252852 5730384 7879278 8595576 10505704 11818917 15758556 17191152 21011408 23637834 31517112 47275668 63034224 94551336 117787609 189102672 235575218 353362827 471150436 706725654 942300872 1060088481 1295663699 1413451308 1884601744 2120176962 2591327398 2826902616 3886991097 4240353924 5182654796 5653805232 7773982194 8480707848 10365309592 11660973291 14252300689 15547964388 16961415696 20730619184 23321946582 28504601378 31095928776 42756902067 46643893164 57009202756 62191857552 85513804134 93287786328 114018405512 128270706201 171027608268 186575572656 228036811024 256541412402 342055216536 513082824804 684110433072 1026165649608 2052331299216