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30053935776 = 253537397993
BaseRepresentation
bin11011111111010110…
…101010101010100000
32212120111210010100110
4123333112222222200
5443022301421101
621450120051320
72112523145004
oct337726525240
985514703313
1030053935776
1111822732857
1259a9003b40
132aac5caa67
141651688704
15bad72ecd6
hex6ff5aaaa0

30053935776 has 96 divisors (see below), whose sum is σ = 80498940480. Its totient is φ = 9814431744.

The previous prime is 30053935763. The next prime is 30053935787. The reversal of 30053935776 is 67753935003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756036 + ... + 3764028.

It is an arithmetic number, because the mean of its divisors is an integer number (838530630).

Almost surely, 230053935776 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 30053935776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40249470240).

30053935776 is an abundant number, since it is smaller than the sum of its proper divisors (50445004704).

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

30053935776 is a wasteful number, since it uses less digits than its factorization.

30053935776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 48.

The spelling of 30053935776 in words is "thirty billion, fifty-three million, nine hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 739 848 1272 1478 1696 2217 2544 2956 4434 5088 5912 7993 8868 11824 15986 17736 23648 23979 31972 35472 39167 47958 63944 70944 78334 95916 117501 127888 156668 191832 235002 255776 313336 383664 423629 470004 626672 767328 847258 940008 1253344 1270887 1694516 1880016 2541774 3389032 3760032 5083548 5906827 6778064 10167096 11813654 13556128 17720481 20334192 23627308 35440962 40668384 47254616 70881924 94509232 141763848 189018464 283527696 313061831 567055392 626123662 939185493 1252247324 1878370986 2504494648 3756741972 5008989296 7513483944 10017978592 15026967888 30053935776