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38052797436 = 2233477619851
BaseRepresentation
bin100011011100000111…
…111001101111111100
310122012222001101202000
4203130013321233330
51110413004004221
625251535302300
72514661304253
oct433407715774
9118188041660
1038052797436
11151578a2a25
12745b97a990
1337858329b4
141badb3779a
15ecaaa2e26
hex8dc1f9bfc

38052797436 has 96 divisors (see below), whose sum is σ = 100897090560. Its totient is φ = 12396816000.

The previous prime is 38052797413. The next prime is 38052797449. The reversal of 38052797436 is 63479725083.

38052797436 is a `hidden beast` number, since 3 + 80 + 527 + 9 + 7 + 4 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3857911 + ... + 3867761.

It is an arithmetic number, because the mean of its divisors is an integer number (1051011360).

Almost surely, 238052797436 is an apocalyptic number.

38052797436 is a gapful number since it is divisible by the number (36) 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 38052797436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50448545280).

38052797436 is an abundant number, since it is smaller than the sum of its proper divisors (62844293124).

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

38052797436 is a wasteful number, since it uses less digits than its factorization.

38052797436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 38052797436 in words is "thirty-eight billion, fifty-two million, seven hundred ninety-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 761 846 1269 1522 1692 2283 2538 3044 4566 5076 6849 9132 9851 13698 19702 20547 27396 29553 35767 39404 41094 59106 71534 82188 88659 107301 118212 143068 177318 214602 265977 321903 354636 429204 462997 531954 643806 925994 965709 1063908 1287612 1388991 1851988 1931418 2777982 3862836 4166973 5555964 7496611 8333946 12500919 14993222 16667892 22489833 25001838 29986444 44979666 50003676 67469499 89959332 134938998 202408497 269877996 352340717 404816994 704681434 809633988 1057022151 1409362868 2114044302 3171066453 4228088604 6342132906 9513199359 12684265812 19026398718 38052797436