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136154024034630 = 23575391511336801
BaseRepresentation
bin11110111101010011010100…
…001111001100000101000110
3122212002012100000221111022020
4132331103110033030011012
5120321221420123102010
61201324143430344010
740451542433002410
oct3675232417140506
9585065300844266
10136154024034630
113a423663048588
121332b68b1bb006
135ac8366a7c7c4
142589c65d4b9b0
1510b1a2a532470
hex7bd4d43cc146

136154024034630 has 128 divisors (see below), whose sum is σ = 380539147862016. Its totient is φ = 30530373120000.

The previous prime is 136154024034583. The next prime is 136154024034631. The reversal of 136154024034630 is 36430420451631.

136154024034630 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136154024034631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101182230 + ... + 102519030.

It is an arithmetic number, because the mean of its divisors is an integer number (2972962092672).

Almost surely, 2136154024034630 is an apocalyptic number.

136154024034630 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 136154024034630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190269573931008).

136154024034630 is an abundant number, since it is smaller than the sum of its proper divisors (244385123827386).

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

136154024034630 is a wasteful number, since it uses less digits than its factorization.

136154024034630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346022.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 136154024034630 in words is "one hundred thirty-six trillion, one hundred fifty-four billion, twenty-four million, thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 9151 11130 18302 27453 45755 54906 64057 91510 128114 137265 192171 274530 320285 384342 485003 640570 960855 970006 1336801 1455009 1921710 2425015 2673602 2910018 3395021 4010403 4850030 6684005 6790042 7275045 8020806 9357607 10185063 13368010 14550090 16975105 18715214 20052015 20370126 28072821 33950210 40104030 46788035 50925315 56145642 70850453 93576070 101850630 140364105 141700906 212551359 280728210 354252265 425102718 495953171 708504530 991906342 1062756795 1487859513 2125513590 2479765855 2975719026 4959531710 7439297565 12233065951 14878595130 24466131902 36699197853 61165329755 73398395706 85631461657 122330659510 171262923314 183495989265 256894384971 366991978530 428157308285 513788769942 648352495403 856314616570 1284471924855 1296704990806 1945057486209 2568943849710 3241762477015 3890114972418 4538467467821 6483524954030 9076934935642 9725287431045 13615402403463 19450574862090 22692337339105 27230804806926 45384674678210 68077012017315 136154024034630