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5413374504 = 23343128693
BaseRepresentation
bin1010000101010100…
…11000101000101000
3111222021012220210000
411002222120220220
542041310441004
62253055223000
7251101631646
oct50252305050
914867186700
105413374504
11232878842a
121070b17a60
136836a39a5
14394d48196
1521a3acc39
hex142a98a28

5413374504 has 120 divisors (see below), whose sum is σ = 15669152730. Its totient is φ = 1746048960.

The previous prime is 5413374451. The next prime is 5413374509. The reversal of 5413374504 is 4054733145.

5413374504 is a `hidden beast` number, since 54 + 1 + 33 + 74 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5343317604 + 70056900 = 73098^2 + 8370^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5413374509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 618382 + ... + 627074.

Almost surely, 25413374504 is an apocalyptic number.

5413374504 is a gapful number since it is divisible by the number (54) 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 5413374504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834576365).

5413374504 is an abundant number, since it is smaller than the sum of its proper divisors (10255778226).

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

5413374504 is a wasteful number, since it uses less digits than its factorization.

5413374504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5413374504 is about 73575.6379788854. The cubic root of 5413374504 is about 1755.8578668104.

The spelling of 5413374504 in words is "five billion, four hundred thirteen million, three hundred seventy-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 961 1116 1674 1922 2232 2511 2883 3348 3844 5022 5766 6696 7688 8649 8693 10044 11532 17298 17386 20088 23064 25947 26079 34596 34772 51894 52158 69192 69544 77841 78237 103788 104316 155682 156474 207576 208632 234711 269483 311364 312948 469422 538966 622728 625896 704133 808449 938844 1077932 1408266 1616898 1877688 2155864 2425347 2816532 3233796 4850694 5633064 6467592 7276041 8353973 9701388 14552082 16707946 19402776 21828123 25061919 29104164 33415892 43656246 50123838 58208328 66831784 75185757 87312492 100247676 150371514 174624984 200495352 225557271 300743028 451114542 601486056 676671813 902229084 1353343626 1804458168 2706687252 5413374504