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152461112366440 = 235131111192616749
BaseRepresentation
bin100010101010100110011110…
…011100011101010101101000
3201222211010210001120220000201
4202222212132130131111220
5124440410324231211230
61300131400151241544
744053644330540133
oct4252463634352550
9658733701526021
10152461112366440
1144640438306909
1215123b9a0792b4
13670c037789197
14299122b55d21a
151295ce40335ca
hex8aa99e71d568

152461112366440 has 64 divisors (see below), whose sum is σ = 345687328800000. Its totient is φ = 60513448869120.

The previous prime is 152461112366249. The next prime is 152461112366441. The reversal of 152461112366440 is 44663211164251.

152461112366440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152461112366441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56955186 + ... + 59571934.

It is an arithmetic number, because the mean of its divisors is an integer number (5401364512500).

Almost surely, 2152461112366440 is an apocalyptic number.

152461112366440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152461112366440 is an abundant number, since it is smaller than the sum of its proper divisors (193226216433560).

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

152461112366440 is a wasteful number, since it uses less digits than its factorization.

152461112366440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628010 (or 2628006 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 152461112366440 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, one hundred twelve million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 11119 22238 44476 55595 88952 111190 222380 444760 1456589 2616749 2913178 5233498 5826356 7282945 10466996 11652712 13083745 14565890 20933992 26167490 29131780 52334980 58263560 104669960 342794119 685588238 1371176476 1713970595 2742352952 3427941190 6855882380 13711764760 29095632131 58191264262 116382528524 145478160655 232765057048 290956321310 581912642620 1163825285240 3811527809161 7623055618322 15246111236644 19057639045805 30492222473288 38115278091610 76230556183220 152461112366440