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30785378686700 = 225211293733258521
BaseRepresentation
bin1101111111111110001111…
…00011111001011011101100
311001000001102222020211021112
412333333013203321123230
513013341423420433300
6145250335134051152
76325112245154531
oct677770743713354
9131001388224245
1030785378686700
11989a007771750
1235524b5049ab8
13142408315b041
1478603d904d88
15385be9659e35
hex1bffc78f96ec

30785378686700 has 144 divisors (see below), whose sum is σ = 75410888081760. Its totient is φ = 10805722368000.

The previous prime is 30785378686697. The next prime is 30785378686721. The reversal of 30785378686700 is 768687358703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118953440 + ... + 119211960.

It is an arithmetic number, because the mean of its divisors is an integer number (523686722790).

Almost surely, 230785378686700 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 30785378686700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705444040880).

30785378686700 is an abundant number, since it is smaller than the sum of its proper divisors (44625509395060).

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

30785378686700 is a wasteful number, since it uses less digits than its factorization.

30785378686700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262308 (or 262301 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 68.

The spelling of 30785378686700 in words is "thirty trillion, seven hundred eighty-five billion, three hundred seventy-eight million, six hundred eighty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 3733 6380 7466 7975 14932 15950 18665 31900 37330 41063 74660 82126 93325 108257 164252 186650 205315 216514 258521 373300 410630 433028 517042 541285 821260 1026575 1034084 1082570 1190827 1292605 2053150 2165140 2381654 2585210 2706425 2843731 4106300 4763308 5170420 5412850 5687462 5954135 6463025 7497109 10825700 11374924 11908270 12926050 14218655 14994218 23816540 25852100 28437310 29770675 29988436 37485545 56874620 59541350 71093275 74971090 82468199 119082700 142186550 149942180 164936398 187427725 284373100 329872796 374855450 412340995 749710900 824681990 965058893 1649363980 1930117786 2061704975 3860235572 4123409950 4825294465 8246819900 9650588930 10615647823 19301177860 21231295646 24126472325 27986707897 42462591292 48252944650 53078239115 55973415794 96505889300 106156478230 111946831588 139933539485 212312956460 265391195575 279867078970 307853786867 530782391150 559734157940 615707573734 699667697425 1061564782300 1231415147468 1399335394850 1539268934335 2798670789700 3078537868670 6157075737340 7696344671675 15392689343350 30785378686700