Search a number
-
+
10542216720 = 243572896447
BaseRepresentation
bin10011101000101110…
…10111011000010000
31000012201001002122010
421310113113120100
5133042301413340
64502032142520
7522150235500
oct116427273020
930181032563
1010542216720
11451a896502
122062697a40
13cc0134079
14720187a00
1541a7b4b80
hex2745d7610

10542216720 has 120 divisors (see below), whose sum is σ = 38016566784. Its totient is φ = 2409646848.

The previous prime is 10542216691. The next prime is 10542216781. The reversal of 10542216720 is 2761224501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105422167202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 436464 + ... + 459983.

Almost surely, 210542216720 is an apocalyptic number.

10542216720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542216720 is an abundant number, since it is smaller than the sum of its proper divisors (27474350064).

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

10542216720 is a wasteful number, since it uses less digits than its factorization.

10542216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896477 (or 896464 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10542216720 in words is "ten billion, five hundred forty-two million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 896447 1792894 2689341 3585788 4482235 5378682 6275129 7171576 8964470 10757364 12550258 13446705 14343152 17928940 18825387 21514728 25100516 26893410 31375645 35857880 37650774 43029456 43925903 50201032 53786820 62751290 71715760 75301548 87851806 94126935 100402064 107573640 125502580 131777709 150603096 175703612 188253870 215147280 219629515 251005160 263555418 301206192 351407224 376507740 439259030 502010320 527110836 658888545 702814448 753015480 878518060 1054221672 1317777090 1506030960 1757036120 2108443344 2635554180 3514072240 5271108360 10542216720