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30552502752 = 25358274751
BaseRepresentation
bin11100011101000100…
…100011000111100000
32220212020220221200000
4130131010203013200
51000032420042002
622011410100000
72131055663022
oct343504430740
986766827600
1030552502752
1111a59100582
125b07b7a600
132b5b9a07c5
14169b98a012
15bdc3b361c
hex71d1231e0

30552502752 has 144 divisors (see below), whose sum is σ = 90229531392. Its totient is φ = 10169712000.

The previous prime is 30552502741. The next prime is 30552502777. The reversal of 30552502752 is 25720525503.

30552502752 is a `hidden beast` number, since 3 + 0 + 552 + 50 + 2 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6428377 + ... + 6433127.

It is an arithmetic number, because the mean of its divisors is an integer number (626593968).

Almost surely, 230552502752 is an apocalyptic number.

30552502752 is a gapful number since it is divisible by the number (32) 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 30552502752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45114765696).

30552502752 is an abundant number, since it is smaller than the sum of its proper divisors (59677028640).

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

30552502752 is an equidigital number, since it uses as much as digits as its factorization.

30552502752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 30552502752 in words is "thirty billion, five hundred fifty-two million, five hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 827 864 972 1296 1654 1944 2481 2592 3308 3888 4751 4962 6616 7443 7776 9502 9924 13232 14253 14886 19004 19848 22329 26464 28506 29772 38008 39696 42759 44658 57012 59544 66987 76016 79392 85518 89316 114024 119088 128277 133974 152032 171036 178632 200961 228048 238176 256554 267948 342072 357264 384831 401922 456096 513108 535896 684144 714528 769662 803844 1026216 1071792 1154493 1368288 1539324 1607688 2052432 2143584 2308986 3078648 3215376 3929077 4104864 4617972 6157296 6430752 7858154 9235944 11787231 12314592 15716308 18471888 23574462 31432616 35361693 36943776 47148924 62865232 70723386 94297848 106085079 125730464 141446772 188595696 212170158 282893544 318255237 377191392 424340316 565787088 636510474 848680632 954765711 1131574176 1273020948 1697361264 1909531422 2546041896 3394722528 3819062844 5092083792 7638125688 10184167584 15276251376 30552502752