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8121457152 = 29328871987
BaseRepresentation
bin1111001000001001…
…11001101000000000
3202221222221202210100
413210010321220000
5113113043112102
63421515002400
7405154150434
oct74404715000
922858852710
108121457152
113498394a66
1216a7a39400
139c575a363
145708829c4
15327edca1c
hex1e4139a00

8121457152 has 120 divisors (see below), whose sum is σ = 23477309856. Its totient is φ = 2702739456.

The previous prime is 8121457139. The next prime is 8121457181. The reversal of 8121457152 is 2517541218.

It is a happy number.

8121457152 is a `hidden beast` number, since 81 + 2 + 1 + 4 + 571 + 5 + 2 = 666.

It is a super-2 number, since 2×81214571522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4086303 + ... + 4088289.

Almost surely, 28121457152 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 8121457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738654928).

8121457152 is an abundant number, since it is smaller than the sum of its proper divisors (15355852704).

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

8121457152 is a wasteful number, since it uses less digits than its factorization.

8121457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2879 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 8121457152 is about 90119.1275590260. The cubic root of 8121457152 is about 2010.0706353732.

The spelling of 8121457152 in words is "eight billion, one hundred twenty-one million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 887 1152 1536 1774 1987 2304 2661 3548 3974 4608 5322 5961 7096 7948 7983 10644 11922 14192 15896 15966 17883 21288 23844 28384 31792 31932 35766 42576 47688 56768 63584 63864 71532 85152 95376 113536 127168 127728 143064 170304 190752 227072 254336 255456 286128 340608 381504 454144 508672 510912 572256 681216 763008 1017344 1021824 1144512 1362432 1526016 1762469 2043648 2289024 3052032 3524938 4087296 4578048 5287407 7049876 9156096 10574814 14099752 15862221 21149628 28199504 31724442 42299256 56399008 63448884 84598512 112798016 126897768 169197024 225596032 253795536 338394048 451192064 507591072 676788096 902384128 1015182144 1353576192 2030364288 2707152384 4060728576 8121457152