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152421436340 = 225191495215167
BaseRepresentation
bin1000110111110100000…
…1101000101110110100
3112120102111211020001222
42031331001220232310
54444124341430330
6154004344205512
714004100555265
oct2157501505664
9476374736058
10152421436340
1159706a22108
1225659769898
13114b1132224
14753d1d096c
153e7148c0e5
hex237d068bb4

152421436340 has 96 divisors (see below), whose sum is σ = 339909696000. Its totient is φ = 57250851840.

The previous prime is 152421436339. The next prime is 152421436367. The reversal of 152421436340 is 43634124251.

152421436340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152421436340.

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 31 ways as a sum of consecutive naturals, for example, 29496437 + ... + 29501603.

It is an arithmetic number, because the mean of its divisors is an integer number (3540726000).

Almost surely, 2152421436340 is an apocalyptic number.

152421436340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152421436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169954848000).

152421436340 is an abundant number, since it is smaller than the sum of its proper divisors (187488259660).

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

152421436340 is a wasteful number, since it uses less digits than its factorization.

152421436340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 152421436340 in words is "one hundred fifty-two billion, four hundred twenty-one million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 521 596 745 1042 1490 2084 2605 2831 2980 5167 5210 5662 9899 10334 10420 11324 14155 19798 20668 25835 28310 39596 49495 51670 56620 77629 98173 98990 103340 155258 196346 197980 310516 388145 392692 490865 769883 776290 981730 1474951 1539766 1552580 1963460 2692007 2949902 3079532 3849415 5384014 5899804 7374755 7698830 10768028 13460035 14627777 14749510 15397660 26920070 29255554 29499020 51148133 53840140 58511108 73138885 102296266 146277770 204592532 255740665 292555540 401109043 511481330 802218086 1022962660 1604436172 2005545215 4011090430 7621071817 8022180860 15242143634 30484287268 38105359085 76210718170 152421436340