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30388137984 = 21233274777
BaseRepresentation
bin11100010011010001…
…100011000000000000
32220102210122100121000
4130103101203000000
5444213330403414
621543215132000
72124021624321
oct342321430000
986383570530
1030388137984
1111984347926
125a80b14000
132b33912449
141683c02448
15bccc47b09
hex713463000

30388137984 has 104 divisors (see below), whose sum is σ = 90028263920. Its totient is φ = 10129342464.

The previous prime is 30388137961. The next prime is 30388138003. The reversal of 30388137984 is 48973188303.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30388137984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26797 + ... + 247980.

Almost surely, 230388137984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30388137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45014131960).

30388137984 is an abundant number, since it is smaller than the sum of its proper divisors (59640125936).

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

30388137984 is an equidigital number, since it uses as much as digits as its factorization.

30388137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274810 (or 274782 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30388137984 in words is "thirty billion, three hundred eighty-eight million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27648 36864 55296 110592 274777 549554 824331 1099108 1648662 2198216 2472993 3297324 4396432 4945986 6594648 7418979 8792864 9891972 13189296 14837958 17585728 19783944 26378592 29675916 35171456 39567888 52757184 59351832 70342912 79135776 105514368 118703664 140685824 158271552 211028736 237407328 281371648 316543104 422057472 474814656 562743296 633086208 844114944 949629312 1125486592 1266172416 1688229888 1899258624 2532344832 3376459776 3798517248 5064689664 7597034496 10129379328 15194068992 30388137984