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189455492970 = 233513719725999
BaseRepresentation
bin1011000001110001101…
…1010110011101101010
3200010000110221020011000
42300130123112131222
511101001101233340
6223011252415430
716454612056002
oct2603433263552
9603013836130
10189455492970
1173390760a87
1230874317576
1314b338957c3
1492538dd002
154ddc8aad30
hex2c1c6d676a

189455492970 has 128 divisors (see below), whose sum is σ = 511505280000. Its totient is φ = 49896193536.

The previous prime is 189455492969. The next prime is 189455492999. The reversal of 189455492970 is 79294554981.

189455492970 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 55 + 492 + 97 + 0 = 666.

It is a super-3 number, since 3×1894554929703 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189455492898 and 189455492907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7274031 + ... + 7300029.

It is an arithmetic number, because the mean of its divisors is an integer number (3996135000).

Almost surely, 2189455492970 is an apocalyptic number.

189455492970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189455492970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255752640000).

189455492970 is an abundant number, since it is smaller than the sum of its proper divisors (322049787030).

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

189455492970 is a wasteful number, since it uses less digits than its factorization.

189455492970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26349 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 189455492970 in words is "one hundred eighty-nine billion, four hundred fifty-five million, four hundred ninety-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 197 270 274 394 411 591 685 822 985 1182 1233 1370 1773 1970 2055 2466 2955 3546 3699 4110 5319 5910 6165 7398 8865 10638 12330 17730 18495 25999 26595 26989 36990 51998 53190 53978 77997 80967 129995 134945 155994 161934 233991 242901 259990 269890 389985 404835 467982 485802 701973 728703 779970 809670 1169955 1214505 1403946 1457406 2339910 2429010 3509865 3561863 3643515 5121803 7019730 7123726 7287030 10243606 10685589 15365409 17809315 21371178 25609015 30730818 32056767 35618630 46096227 51218030 53427945 64113534 76827045 92192454 96170301 106855890 138288681 153654090 160283835 192340602 230481135 276577362 320567670 460962270 480851505 691443405 701687011 961703010 1382886810 1403374022 2105061033 3508435055 4210122066 6315183099 7016870110 10525305165 12630366198 18945549297 21050610330 31575915495 37891098594 63151830990 94727746485 189455492970