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150761405760 = 2635722434733
BaseRepresentation
bin1000110001101000010…
…1000111110101000000
3112102010211011221012220
42030122011013311000
54432224404441020
6153131524051040
713615002543060
oct2143205076500
9472124157186
10150761405760
1158a34979609
1225275833a80
13112a823b604
1474229513a0
153dc5881240
hex231a147d40

150761405760 has 112 divisors (see below), whose sum is σ = 547048553856. Its totient is φ = 34459748352.

The previous prime is 150761405699. The next prime is 150761405777. The reversal of 150761405760 is 67504167051.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1507614057602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11210647 + ... + 11224086.

It is an arithmetic number, because the mean of its divisors is an integer number (4884362088).

Almost surely, 2150761405760 is an apocalyptic number.

150761405760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150761405760 is an abundant number, since it is smaller than the sum of its proper divisors (396287148096).

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

150761405760 is a wasteful number, since it uses less digits than its factorization.

150761405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22434760 (or 22434750 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 150761405760 in words is "one hundred fifty billion, seven hundred sixty-one million, four hundred five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 22434733 44869466 67304199 89738932 112173665 134608398 157043131 179477864 224347330 269216796 314086262 336520995 358955728 448694660 471129393 538433592 628172524 673041990 717911456 785215655 897389320 942258786 1076867184 1256345048 1346083980 1435822912 1570431310 1794778640 1884517572 2153734368 2355646965 2512690096 2692167960 3140862620 3589557280 3769035144 4307468736 4711293930 5025380192 5384335920 6281725240 7179114560 7538070288 9422587860 10050760384 10768671840 12563450480 15076140576 18845175720 21537343680 25126900960 30152281152 37690351440 50253801920 75380702880 150761405760