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113535002400512 = 2871110355919317
BaseRepresentation
bin11001110100001001101101…
…011111001101011100000000
3112212222211200112012221121212
4121310021231133031130000
5104340124141103304022
61041245132101305252
732625430125245240
oct3164115537153400
9485884615187555
10113535002400512
11331a2a190049a0
1210897a16705228
134b473c6803604
1420071a29cdb20
15d1d48c9413e2
hex67426d7cd700

113535002400512 has 144 divisors (see below), whose sum is σ = 285290518636032. Its totient is φ = 43804955381760.

The previous prime is 113535002400503. The next prime is 113535002400539. The reversal of 113535002400512 is 215004200535311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25929323 + ... + 29989994.

Almost surely, 2113535002400512 is an apocalyptic number.

It is an amenable number.

113535002400512 is an abundant number, since it is smaller than the sum of its proper divisors (171755516235520).

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

113535002400512 is a wasteful number, since it uses less digits than its factorization.

113535002400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55919454 (or 55919440 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 113535002400512 its reverse (215004200535311), we get a palindrome (328539202935823).

The spelling of 113535002400512 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two million, four hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 112 128 154 176 206 224 256 308 352 412 448 616 704 721 824 896 1133 1232 1408 1442 1648 1792 2266 2464 2816 2884 3296 4532 4928 5768 6592 7931 9064 9856 11536 13184 15862 18128 19712 23072 26368 31724 36256 46144 63448 72512 92288 126896 145024 184576 253792 290048 507584 1015168 2030336 55919317 111838634 223677268 391435219 447354536 615112487 782870438 894709072 1230224974 1565740876 1789418144 2460449948 3131481752 3578836288 4305787409 4920899896 5759689651 6262963504 7157672576 8611574818 9841799792 11519379302 12525927008 14315345152 17223149636 19683599584 23038758604 25051854016 34446299272 39367199168 40317827557 46077517208 50103708032 63356586161 68892598544 78734398336 80635655114 92155034416 100207416064 126713172322 137785197088 157468796672 161271310228 184310068832 253426344644 275570394176 322542620456 368620137664 443496103127 506852689288 551140788352 645085240912 737240275328 886992206254 1013705378576 1102281576704 1290170481824 1474480550656 1773984412508 2027410757152 2580340963648 3547968825016 4054821514304 5160681927296 7095937650032 8109643028608 10321363854592 14191875300064 16219286057216 28383750600128 56767501200256 113535002400512