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133147653510 = 235375916312473
BaseRepresentation
bin111110000000000110…
…1111111010110000110
3110201200021210121111110
41330000031333112012
54140141244403020
6141100040145450
712422344244514
oct1740015772606
9421607717443
10133147653510
1151516419873
122197aa68286
13c72c045bc1
1466315494b4
1536e43718e0
hex1f0037f586

133147653510 has 128 divisors (see below), whose sum is σ = 335828021760. Its totient is φ = 33749830656.

The previous prime is 133147653469. The next prime is 133147653523. The reversal of 133147653510 is 15356741331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10668634 + ... + 10681106.

It is an arithmetic number, because the mean of its divisors is an integer number (2623656420).

Almost surely, 2133147653510 is an apocalyptic number.

133147653510 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 133147653510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167914010880).

133147653510 is an abundant number, since it is smaller than the sum of its proper divisors (202680368250).

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

133147653510 is a wasteful number, since it uses less digits than its factorization.

133147653510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742.

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 133147653510 in words is "one hundred thirty-three billion, one hundred forty-seven million, six hundred fifty-three thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 111 118 163 177 185 222 295 326 354 370 489 555 590 815 885 978 1110 1630 1770 2183 2445 4366 4890 6031 6549 9617 10915 12062 12473 13098 18093 19234 21830 24946 28851 30155 32745 36186 37419 48085 57702 60310 62365 65490 74838 90465 96170 124730 144255 180930 187095 288510 355829 374190 461501 711658 735907 923002 1067487 1384503 1471814 1779145 2033099 2134974 2207721 2307505 2769006 3558290 3679535 4066198 4415442 4615010 5337435 6099297 6922515 7359070 10165495 10674870 11038605 12198594 13845030 20330990 22077210 27228559 30496485 54457118 60992970 75224663 81685677 119952841 136142795 150449326 163371354 225673989 239905682 272285590 359858523 376123315 408428385 451347978 599764205 719717046 752246630 816856770 1128369945 1199528410 1799292615 2256739890 3598585230 4438255117 8876510234 13314765351 22191275585 26629530702 44382551170 66573826755 133147653510